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Finding the Third Proportional to 396,844 and 855,900

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Solution

The third proportional to 396,844 and 855,900 is: 1,845,976.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,844 : 855,900 = 855,900 : x
  2. Step 2: Convert to fraction form
    396,844/855,900 = 855,900/x
  3. Step 3: Cross multiply
    396,844x = 855,900 × 855,900
  4. Step 4: Simplify right side
    396,844x = 732,564,810,000
  5. Step 5: Solve for x
    x = 732,564,810,000/396,844
  6. Step 6: Final answer
    x = 1,845,976.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.