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Finding the Third Proportional to 667,552 and 1,033,002

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Solution

The third proportional to 667,552 and 1,033,002 is: 1,598,516.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,552 : 1,033,002 = 1,033,002 : x
  2. Step 2: Convert to fraction form
    667,552/1,033,002 = 1,033,002/x
  3. Step 3: Cross multiply
    667,552x = 1,033,002 × 1,033,002
  4. Step 4: Simplify right side
    667,552x = 1,067,093,132,004
  5. Step 5: Solve for x
    x = 1,067,093,132,004/667,552
  6. Step 6: Final answer
    x = 1,598,516.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.