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Finding the Third Proportional to 724,463,408 and 1,129,741,788

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Solution

The third proportional to 724,463,408 and 1,129,741,788 is: 1,761,740,473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,463,408 : 1,129,741,788 = 1,129,741,788 : x
  2. Step 2: Convert to fraction form
    724,463,408/1,129,741,788 = 1,129,741,788/x
  3. Step 3: Cross multiply
    724,463,408x = 1,129,741,788 × 1,129,741,788
  4. Step 4: Simplify right side
    724,463,408x = 1,276,316,507,553,436,928
  5. Step 5: Solve for x
    x = 1,276,316,507,553,436,928/724,463,408
  6. Step 6: Final answer
    x = 1,761,740,473.65

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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.