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Finding the Third Proportional to 794,331 and 1,728,438

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Solution

The third proportional to 794,331 and 1,728,438 is: 3,761,023.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,331 : 1,728,438 = 1,728,438 : x
  2. Step 2: Convert to fraction form
    794,331/1,728,438 = 1,728,438/x
  3. Step 3: Cross multiply
    794,331x = 1,728,438 × 1,728,438
  4. Step 4: Simplify right side
    794,331x = 2,987,497,919,844
  5. Step 5: Solve for x
    x = 2,987,497,919,844/794,331
  6. Step 6: Final answer
    x = 3,761,023.96

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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.