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Finding the Third Proportional to 371,092 and 827,180

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Solution

The third proportional to 371,092 and 827,180 is: 1,843,819.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,092 : 827,180 = 827,180 : x
  2. Step 2: Convert to fraction form
    371,092/827,180 = 827,180/x
  3. Step 3: Cross multiply
    371,092x = 827,180 × 827,180
  4. Step 4: Simplify right side
    371,092x = 684,226,752,400
  5. Step 5: Solve for x
    x = 684,226,752,400/371,092
  6. Step 6: Final answer
    x = 1,843,819.73

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.