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Finding the Third Proportional to 921,118 and 1,982,204

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Solution

The third proportional to 921,118 and 1,982,204 is: 4,265,612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,118 : 1,982,204 = 1,982,204 : x
  2. Step 2: Convert to fraction form
    921,118/1,982,204 = 1,982,204/x
  3. Step 3: Cross multiply
    921,118x = 1,982,204 × 1,982,204
  4. Step 4: Simplify right side
    921,118x = 3,929,132,697,616
  5. Step 5: Solve for x
    x = 3,929,132,697,616/921,118
  6. Step 6: Final answer
    x = 4,265,612.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.