Finding the Third Proportional to 417,193 and 908,743
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Solution
The third proportional to 417,193 and 908,743 is: 1,979,452.77
Step by Step Solution
- Step 1: Write the proportion equation
417,193 : 908,743 = 908,743 : x - Step 2: Convert to fraction form
417,193/908,743 = 908,743/x - Step 3: Cross multiply
417,193x = 908,743 × 908,743 - Step 4: Simplify right side
417,193x = 825,813,840,049 - Step 5: Solve for x
x = 825,813,840,049/417,193 - Step 6: Final answer
x = 1,979,452.77
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.