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Finding the Third Proportional to 1,002,439 and 2,339,105

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Solution

The third proportional to 1,002,439 and 2,339,105 is: 5,458,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,439 : 2,339,105 = 2,339,105 : x
  2. Step 2: Convert to fraction form
    1,002,439/2,339,105 = 2,339,105/x
  3. Step 3: Cross multiply
    1,002,439x = 2,339,105 × 2,339,105
  4. Step 4: Simplify right side
    1,002,439x = 5,471,412,201,025
  5. Step 5: Solve for x
    x = 5,471,412,201,025/1,002,439
  6. Step 6: Final answer
    x = 5,458,099.90

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.