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Finding the Third Proportional to 709,780 and 1,548,027

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Solution

The third proportional to 709,780 and 1,548,027 is: 3,376,239.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,780 : 1,548,027 = 1,548,027 : x
  2. Step 2: Convert to fraction form
    709,780/1,548,027 = 1,548,027/x
  3. Step 3: Cross multiply
    709,780x = 1,548,027 × 1,548,027
  4. Step 4: Simplify right side
    709,780x = 2,396,387,592,729
  5. Step 5: Solve for x
    x = 2,396,387,592,729/709,780
  6. Step 6: Final answer
    x = 3,376,239.95

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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.