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Finding the Third Proportional to 861,408 and 1,283,694.75

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Solution

The third proportional to 861,408 and 1,283,694.75 is: 1,912,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,408 : 1,283,694.75 = 1,283,694.75 : x
  2. Step 2: Convert to fraction form
    861,408/1,283,694.75 = 1,283,694.75/x
  3. Step 3: Cross multiply
    861,408x = 1,283,694.75 × 1,283,694.75
  4. Step 4: Simplify right side
    861,408x = 1,647,872,211,177.56
  5. Step 5: Solve for x
    x = 1,647,872,211,177.56/861,408
  6. Step 6: Final answer
    x = 1,912,998.50

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.