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Finding the Third Proportional to 724,462,940 and 1,129,741,086

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Solution

The third proportional to 724,462,940 and 1,129,741,086 is: 1,761,739,422.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,462,940 : 1,129,741,086 = 1,129,741,086 : x
  2. Step 2: Convert to fraction form
    724,462,940/1,129,741,086 = 1,129,741,086/x
  3. Step 3: Cross multiply
    724,462,940x = 1,129,741,086 × 1,129,741,086
  4. Step 4: Simplify right side
    724,462,940x = 1,276,314,921,396,459,520
  5. Step 5: Solve for x
    x = 1,276,314,921,396,459,520/724,462,940
  6. Step 6: Final answer
    x = 1,761,739,422.30

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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.