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Finding the Third Proportional to 2,567,214 and 5,498,766

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Solution

The third proportional to 2,567,214 and 5,498,766 is: 11,777,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567,214 : 5,498,766 = 5,498,766 : x
  2. Step 2: Convert to fraction form
    2,567,214/5,498,766 = 5,498,766/x
  3. Step 3: Cross multiply
    2,567,214x = 5,498,766 × 5,498,766
  4. Step 4: Simplify right side
    2,567,214x = 30,236,427,522,756
  5. Step 5: Solve for x
    x = 30,236,427,522,756/2,567,214
  6. Step 6: Final answer
    x = 11,777,914.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.