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Finding the Third Proportional to 639,842 and 1,372,780

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Solution

The third proportional to 639,842 and 1,372,780 is: 2,945,297.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,842 : 1,372,780 = 1,372,780 : x
  2. Step 2: Convert to fraction form
    639,842/1,372,780 = 1,372,780/x
  3. Step 3: Cross multiply
    639,842x = 1,372,780 × 1,372,780
  4. Step 4: Simplify right side
    639,842x = 1,884,524,928,400
  5. Step 5: Solve for x
    x = 1,884,524,928,400/639,842
  6. Step 6: Final answer
    x = 2,945,297.32

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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.