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Finding the Third Proportional to 317,677,539 and 688,105,806

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Solution

The third proportional to 317,677,539 and 688,105,806 is: 1,490,472,388.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,677,539 : 688,105,806 = 688,105,806 : x
  2. Step 2: Convert to fraction form
    317,677,539/688,105,806 = 688,105,806/x
  3. Step 3: Cross multiply
    317,677,539x = 688,105,806 × 688,105,806
  4. Step 4: Simplify right side
    317,677,539x = 473,489,600,250,909,632
  5. Step 5: Solve for x
    x = 473,489,600,250,909,632/317,677,539
  6. Step 6: Final answer
    x = 1,490,472,388.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.