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Finding the Third Proportional to 731,736 and 1,140,408

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Solution

The third proportional to 731,736 and 1,140,408 is: 1,777,321.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,736 : 1,140,408 = 1,140,408 : x
  2. Step 2: Convert to fraction form
    731,736/1,140,408 = 1,140,408/x
  3. Step 3: Cross multiply
    731,736x = 1,140,408 × 1,140,408
  4. Step 4: Simplify right side
    731,736x = 1,300,530,406,464
  5. Step 5: Solve for x
    x = 1,300,530,406,464/731,736
  6. Step 6: Final answer
    x = 1,777,321.88

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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.