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Finding the Third Proportional to 2,741,398 and 5,940,422

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Solution

The third proportional to 2,741,398 and 5,940,422 is: 12,872,488.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741,398 : 5,940,422 = 5,940,422 : x
  2. Step 2: Convert to fraction form
    2,741,398/5,940,422 = 5,940,422/x
  3. Step 3: Cross multiply
    2,741,398x = 5,940,422 × 5,940,422
  4. Step 4: Simplify right side
    2,741,398x = 35,288,613,538,084
  5. Step 5: Solve for x
    x = 35,288,613,538,084/2,741,398
  6. Step 6: Final answer
    x = 12,872,488.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.