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Finding the Third Proportional to 397,491,732 and 868,676,616

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Solution

The third proportional to 397,491,732 and 868,676,616 is: 1,898,401,909.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,491,732 : 868,676,616 = 868,676,616 : x
  2. Step 2: Convert to fraction form
    397,491,732/868,676,616 = 868,676,616/x
  3. Step 3: Cross multiply
    397,491,732x = 868,676,616 × 868,676,616
  4. Step 4: Simplify right side
    397,491,732x = 754,599,063,185,211,392
  5. Step 5: Solve for x
    x = 754,599,063,185,211,392/397,491,732
  6. Step 6: Final answer
    x = 1,898,401,909.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.