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Finding the Third Proportional to 462,384 and 993,744

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Solution

The third proportional to 462,384 and 993,744 is: 2,135,729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,384 : 993,744 = 993,744 : x
  2. Step 2: Convert to fraction form
    462,384/993,744 = 993,744/x
  3. Step 3: Cross multiply
    462,384x = 993,744 × 993,744
  4. Step 4: Simplify right side
    462,384x = 987,527,137,536
  5. Step 5: Solve for x
    x = 987,527,137,536/462,384
  6. Step 6: Final answer
    x = 2,135,729.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.