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Finding the Third Proportional to 724,463,822 and 1,129,742,418

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Solution

The third proportional to 724,463,822 and 1,129,742,418 is: 1,761,741,431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,463,822 : 1,129,742,418 = 1,129,742,418 : x
  2. Step 2: Convert to fraction form
    724,463,822/1,129,742,418 = 1,129,742,418/x
  3. Step 3: Cross multiply
    724,463,822x = 1,129,742,418 × 1,129,742,418
  4. Step 4: Simplify right side
    724,463,822x = 1,276,317,931,028,486,656
  5. Step 5: Solve for x
    x = 1,276,317,931,028,486,656/724,463,822
  6. Step 6: Final answer
    x = 1,761,741,431.76

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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.