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Finding the Third Proportional to 724,462,769 and 1,129,740,834

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Solution

The third proportional to 724,462,769 and 1,129,740,834 is: 1,761,739,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,462,769 : 1,129,740,834 = 1,129,740,834 : x
  2. Step 2: Convert to fraction form
    724,462,769/1,129,740,834 = 1,129,740,834/x
  3. Step 3: Cross multiply
    724,462,769x = 1,129,740,834 × 1,129,740,834
  4. Step 4: Simplify right side
    724,462,769x = 1,276,314,352,007,015,680
  5. Step 5: Solve for x
    x = 1,276,314,352,007,015,680/724,462,769
  6. Step 6: Final answer
    x = 1,761,739,052.19

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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.