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Finding the Third Proportional to 449,933,707 and 701,206,121

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Solution

The third proportional to 449,933,707 and 701,206,121 is: 1,092,805,487.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,933,707 : 701,206,121 = 701,206,121 : x
  2. Step 2: Convert to fraction form
    449,933,707/701,206,121 = 701,206,121/x
  3. Step 3: Cross multiply
    449,933,707x = 701,206,121 × 701,206,121
  4. Step 4: Simplify right side
    449,933,707x = 491,690,024,127,866,624
  5. Step 5: Solve for x
    x = 491,690,024,127,866,624/449,933,707
  6. Step 6: Final answer
    x = 1,092,805,487.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.