Finding the Third Proportional to 498,464 and 1,096,569
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Solution
The third proportional to 498,464 and 1,096,569 is: 2,412,337.85
Step by Step Solution
- Step 1: Write the proportion equation
498,464 : 1,096,569 = 1,096,569 : x - Step 2: Convert to fraction form
498,464/1,096,569 = 1,096,569/x - Step 3: Cross multiply
498,464x = 1,096,569 × 1,096,569 - Step 4: Simplify right side
498,464x = 1,202,463,571,761 - Step 5: Solve for x
x = 1,202,463,571,761/498,464 - Step 6: Final answer
x = 2,412,337.85
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.