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Finding the Third Proportional to 982,586 and 2,138,166

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Solution

The third proportional to 982,586 and 2,138,166 is: 4,652,777.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,586 : 2,138,166 = 2,138,166 : x
  2. Step 2: Convert to fraction form
    982,586/2,138,166 = 2,138,166/x
  3. Step 3: Cross multiply
    982,586x = 2,138,166 × 2,138,166
  4. Step 4: Simplify right side
    982,586x = 4,571,753,843,556
  5. Step 5: Solve for x
    x = 4,571,753,843,556/982,586
  6. Step 6: Final answer
    x = 4,652,777.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.