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Ubify Financial Advisory Board
FINANCIAL ANALYSTS & CPA REVIEWERS
About This Tool
This proportional geometry tool rescales display resolutions to target pixel widths while keeping image aspect proportions locked. In graphic design and video editing, resizing footage without locked proportions causes anamorphic distortion and distorted subject faces.
### Mathematical Scaling Pipeline The calculator processes three integer fields in client JavaScript: - **Original Width ($W_1$):** Source resolution horizontal pixel count (defaults to 1920). - **Original Height ($H_1$):** Source resolution vertical pixel count (defaults to 1080). - **Target Width ($W_2$):** Desired resized horizontal width (defaults to 1280).
**Evaluation Formulas:** - **Proportional Decimal Ratio ($R$):** $ ext{Ratio} = \frac{W_1}{H_1}$ - **Rescaled Height ($H_2$):** $ ext{Scaled Height} = \text{round}\left( \frac{W_2}{R} \right)$ - **Fraction Simplification:** Computes the Euclidean greatest common divisor: $G = \gcd(W_1, H_1)$ $\text{Simplified Ratio} = \left( \frac{W_1}{G} \right) : \left( \frac{H_1}{G} \right)$ - **Sensor Megapixel Volume:** $ ext{Megapixels} = \frac{W_2 \times H_2}{1,000,000}$
### Worked Resolution Example Downscaling 1080p Full High Definition ($1920 \times 1080$) to 720p HD width ($1280\text{ px}$): 1. Base Ratio: $1920 / 1080 \approx 1.7778$ (or $16:9$). 2. Scaled Height: $\text{round}(1280 / 1.7778) = 720\text{ pixels}$. 3. Output Resolution: **$1280 \times 720\text{ px}$** ($0.92\text{ Megapixels}$).
### Client-Side Processing Note All calculations evaluate in browser memory using JavaScript floating-point arithmetic. No image dimensions or video metadata are transmitted over any network.
How to Use
- 1
Enter the original resolution width in pixels (e.g., 1920).
- 2
Enter the original resolution height in pixels (e.g., 1080).
- 3
Specify your desired target width in pixels (e.g., 1280).
- 4
Read the calculated scaled height, simplified aspect ratio fraction, and total megapixels.
Frequently Asked Questions
Why does the calculator round scaled heights to the nearest whole pixel?
Display panels and video renderers address discrete physical pixels. Fractional pixel values (such as 720.4px) cause anti-aliased subpixel blurring during export.
How does the calculator simplify aspect ratios like 1920x1080 to 16:9?
The tool uses Euclid’s algorithm to determine the Greatest Common Divisor (120 for 1920 and 1080). Dividing both numbers by 120 yields the irreducible fraction 16:9.
Does this calculator transmit resolution figures to an external server?
No. All scaling equations calculate locally in your web browser.