Finding the Third Proportional to 415,744 and 910,464
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Solution
The third proportional to 415,744 and 910,464 is: 1,993,882.52
Step by Step Solution
- Step 1: Write the proportion equation
415,744 : 910,464 = 910,464 : x - Step 2: Convert to fraction form
415,744/910,464 = 910,464/x - Step 3: Cross multiply
415,744x = 910,464 × 910,464 - Step 4: Simplify right side
415,744x = 828,944,695,296 - Step 5: Solve for x
x = 828,944,695,296/415,744 - Step 6: Final answer
x = 1,993,882.52
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.