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Finding the Third Proportional to 2,287,422 and 3,364,569

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Solution

The third proportional to 2,287,422 and 3,364,569 is: 4,948,944.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287,422 : 3,364,569 = 3,364,569 : x
  2. Step 2: Convert to fraction form
    2,287,422/3,364,569 = 3,364,569/x
  3. Step 3: Cross multiply
    2,287,422x = 3,364,569 × 3,364,569
  4. Step 4: Simplify right side
    2,287,422x = 11,320,324,555,761
  5. Step 5: Solve for x
    x = 11,320,324,555,761/2,287,422
  6. Step 6: Final answer
    x = 4,948,944.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.