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Finding the Third Proportional to 724,464,522 and 1,129,743,423

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Solution

The third proportional to 724,464,522 and 1,129,743,423 is: 1,761,742,863.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,464,522 : 1,129,743,423 = 1,129,743,423 : x
  2. Step 2: Convert to fraction form
    724,464,522/1,129,743,423 = 1,129,743,423/x
  3. Step 3: Cross multiply
    724,464,522x = 1,129,743,423 × 1,129,743,423
  4. Step 4: Simplify right side
    724,464,522x = 1,276,320,201,811,757,056
  5. Step 5: Solve for x
    x = 1,276,320,201,811,757,056/724,464,522
  6. Step 6: Final answer
    x = 1,761,742,863.94

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