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Finding the Third Proportional to 782,661,690 and 1,705,948,596

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Solution

The third proportional to 782,661,690 and 1,705,948,596 is: 3,718,414,545.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,661,690 : 1,705,948,596 = 1,705,948,596 : x
  2. Step 2: Convert to fraction form
    782,661,690/1,705,948,596 = 1,705,948,596/x
  3. Step 3: Cross multiply
    782,661,690x = 1,705,948,596 × 1,705,948,596
  4. Step 4: Simplify right side
    782,661,690x = 2,910,260,612,194,371,072
  5. Step 5: Solve for x
    x = 2,910,260,612,194,371,072/782,661,690
  6. Step 6: Final answer
    x = 3,718,414,545.36

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.