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Finding the Third Proportional to 395,856 and 853,920

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Solution

The third proportional to 395,856 and 853,920 is: 1,842,031.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,856 : 853,920 = 853,920 : x
  2. Step 2: Convert to fraction form
    395,856/853,920 = 853,920/x
  3. Step 3: Cross multiply
    395,856x = 853,920 × 853,920
  4. Step 4: Simplify right side
    395,856x = 729,179,366,400
  5. Step 5: Solve for x
    x = 729,179,366,400/395,856
  6. Step 6: Final answer
    x = 1,842,031.87

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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.