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Finding the Third Proportional to 399,039 and 861,384

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Solution

The third proportional to 399,039 and 861,384 is: 1,859,423.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,039 : 861,384 = 861,384 : x
  2. Step 2: Convert to fraction form
    399,039/861,384 = 861,384/x
  3. Step 3: Cross multiply
    399,039x = 861,384 × 861,384
  4. Step 4: Simplify right side
    399,039x = 741,982,395,456
  5. Step 5: Solve for x
    x = 741,982,395,456/399,039
  6. Step 6: Final answer
    x = 1,859,423.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.