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Finding the Third Proportional to 394,138.41 and 861,890.63

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Solution

The third proportional to 394,138.41 and 861,890.63 is: 1,884,757.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,138.41 : 861,890.63 = 861,890.63 : x
  2. Step 2: Convert to fraction form
    394,138.41/861,890.63 = 861,890.63/x
  3. Step 3: Cross multiply
    394,138.41x = 861,890.63 × 861,890.63
  4. Step 4: Simplify right side
    394,138.41x = 742,855,449,462.89
  5. Step 5: Solve for x
    x = 742,855,449,462.89/394,138.41
  6. Step 6: Final answer
    x = 1,884,757.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.