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Finding the Third Proportional to 869,747.15 and 1,327,116.42

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Solution

The third proportional to 869,747.15 and 1,327,116.42 is: 2,025,000.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,747.15 : 1,327,116.42 = 1,327,116.42 : x
  2. Step 2: Convert to fraction form
    869,747.15/1,327,116.42 = 1,327,116.42/x
  3. Step 3: Cross multiply
    869,747.15x = 1,327,116.42 × 1,327,116.42
  4. Step 4: Simplify right side
    869,747.15x = 1,761,237,989,434.20
  5. Step 5: Solve for x
    x = 1,761,237,989,434.20/869,747.15
  6. Step 6: Final answer
    x = 2,025,000.01

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.