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Finding the Third Proportional to 2,747,268 and 4,202,568

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Solution

The third proportional to 2,747,268 and 4,202,568 is: 6,428,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747,268 : 4,202,568 = 4,202,568 : x
  2. Step 2: Convert to fraction form
    2,747,268/4,202,568 = 4,202,568/x
  3. Step 3: Cross multiply
    2,747,268x = 4,202,568 × 4,202,568
  4. Step 4: Simplify right side
    2,747,268x = 17,661,577,794,624
  5. Step 5: Solve for x
    x = 17,661,577,794,624/2,747,268
  6. Step 6: Final answer
    x = 6,428,778.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.