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Finding the Third Proportional to 380,806 and 827,166

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Solution

The third proportional to 380,806 and 827,166 is: 1,796,724.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,806 : 827,166 = 827,166 : x
  2. Step 2: Convert to fraction form
    380,806/827,166 = 827,166/x
  3. Step 3: Cross multiply
    380,806x = 827,166 × 827,166
  4. Step 4: Simplify right side
    380,806x = 684,203,591,556
  5. Step 5: Solve for x
    x = 684,203,591,556/380,806
  6. Step 6: Final answer
    x = 1,796,724.82

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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.