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Finding the Third Proportional to 639,864 and 1,481,324

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Solution

The third proportional to 639,864 and 1,481,324 is: 3,429,354.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,864 : 1,481,324 = 1,481,324 : x
  2. Step 2: Convert to fraction form
    639,864/1,481,324 = 1,481,324/x
  3. Step 3: Cross multiply
    639,864x = 1,481,324 × 1,481,324
  4. Step 4: Simplify right side
    639,864x = 2,194,320,792,976
  5. Step 5: Solve for x
    x = 2,194,320,792,976/639,864
  6. Step 6: Final answer
    x = 3,429,354.98

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.