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Finding the Third Proportional to 667,593 and 1,442,100

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Solution

The third proportional to 667,593 and 1,442,100 is: 3,115,150.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,593 : 1,442,100 = 1,442,100 : x
  2. Step 2: Convert to fraction form
    667,593/1,442,100 = 1,442,100/x
  3. Step 3: Cross multiply
    667,593x = 1,442,100 × 1,442,100
  4. Step 4: Simplify right side
    667,593x = 2,079,652,410,000
  5. Step 5: Solve for x
    x = 2,079,652,410,000/667,593
  6. Step 6: Final answer
    x = 3,115,150.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.