Finding the Third Proportional to 416,038 and 851,788
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Solution
The third proportional to 416,038 and 851,788 is: 1,743,933.96
Step by Step Solution
- Step 1: Write the proportion equation
416,038 : 851,788 = 851,788 : x - Step 2: Convert to fraction form
416,038/851,788 = 851,788/x - Step 3: Cross multiply
416,038x = 851,788 × 851,788 - Step 4: Simplify right side
416,038x = 725,542,796,944 - Step 5: Solve for x
x = 725,542,796,944/416,038 - Step 6: Final answer
x = 1,743,933.96
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.