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Finding the Third Proportional to 394,659 and 855,846

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Solution

The third proportional to 394,659 and 855,846 is: 1,855,962.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,659 : 855,846 = 855,846 : x
  2. Step 2: Convert to fraction form
    394,659/855,846 = 855,846/x
  3. Step 3: Cross multiply
    394,659x = 855,846 × 855,846
  4. Step 4: Simplify right side
    394,659x = 732,472,375,716
  5. Step 5: Solve for x
    x = 732,472,375,716/394,659
  6. Step 6: Final answer
    x = 1,855,962.68

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Why These Related Problems?

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