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Finding the Third Proportional to 737,540 and 1,608,568

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Solution

The third proportional to 737,540 and 1,608,568 is: 3,508,272.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,540 : 1,608,568 = 1,608,568 : x
  2. Step 2: Convert to fraction form
    737,540/1,608,568 = 1,608,568/x
  3. Step 3: Cross multiply
    737,540x = 1,608,568 × 1,608,568
  4. Step 4: Simplify right side
    737,540x = 2,587,491,010,624
  5. Step 5: Solve for x
    x = 2,587,491,010,624/737,540
  6. Step 6: Final answer
    x = 3,508,272.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.