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Finding the Third Proportional to 1,202,949 and 2,505,422

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Solution

The third proportional to 1,202,949 and 2,505,422 is: 5,218,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202,949 : 2,505,422 = 2,505,422 : x
  2. Step 2: Convert to fraction form
    1,202,949/2,505,422 = 2,505,422/x
  3. Step 3: Cross multiply
    1,202,949x = 2,505,422 × 2,505,422
  4. Step 4: Simplify right side
    1,202,949x = 6,277,139,398,084
  5. Step 5: Solve for x
    x = 6,277,139,398,084/1,202,949
  6. Step 6: Final answer
    x = 5,218,125.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.