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Finding the Third Proportional to 394,404 and 861,754

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Solution

The third proportional to 394,404 and 861,754 is: 1,882,891.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,404 : 861,754 = 861,754 : x
  2. Step 2: Convert to fraction form
    394,404/861,754 = 861,754/x
  3. Step 3: Cross multiply
    394,404x = 861,754 × 861,754
  4. Step 4: Simplify right side
    394,404x = 742,619,956,516
  5. Step 5: Solve for x
    x = 742,619,956,516/394,404
  6. Step 6: Final answer
    x = 1,882,891.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.