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Finding the Third Proportional to 667,170 and 1,361,508

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Solution

The third proportional to 667,170 and 1,361,508 is: 2,778,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,170 : 1,361,508 = 1,361,508 : x
  2. Step 2: Convert to fraction form
    667,170/1,361,508 = 1,361,508/x
  3. Step 3: Cross multiply
    667,170x = 1,361,508 × 1,361,508
  4. Step 4: Simplify right side
    667,170x = 1,853,704,034,064
  5. Step 5: Solve for x
    x = 1,853,704,034,064/667,170
  6. Step 6: Final answer
    x = 2,778,458.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.