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Finding the Third Proportional to 682,448 and 1,468,568

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Solution

The third proportional to 682,448 and 1,468,568 is: 3,160,229.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,448 : 1,468,568 = 1,468,568 : x
  2. Step 2: Convert to fraction form
    682,448/1,468,568 = 1,468,568/x
  3. Step 3: Cross multiply
    682,448x = 1,468,568 × 1,468,568
  4. Step 4: Simplify right side
    682,448x = 2,156,691,970,624
  5. Step 5: Solve for x
    x = 2,156,691,970,624/682,448
  6. Step 6: Final answer
    x = 3,160,229.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.