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Finding the Third Proportional to 731,874 and 1,142,076

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Solution

The third proportional to 731,874 and 1,142,076 is: 1,782,188.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,874 : 1,142,076 = 1,142,076 : x
  2. Step 2: Convert to fraction form
    731,874/1,142,076 = 1,142,076/x
  3. Step 3: Cross multiply
    731,874x = 1,142,076 × 1,142,076
  4. Step 4: Simplify right side
    731,874x = 1,304,337,589,776
  5. Step 5: Solve for x
    x = 1,304,337,589,776/731,874
  6. Step 6: Final answer
    x = 1,782,188.72

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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.