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Finding the Third Proportional to 819,981 and 1,801,395

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Solution

The third proportional to 819,981 and 1,801,395 is: 3,957,437.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,981 : 1,801,395 = 1,801,395 : x
  2. Step 2: Convert to fraction form
    819,981/1,801,395 = 1,801,395/x
  3. Step 3: Cross multiply
    819,981x = 1,801,395 × 1,801,395
  4. Step 4: Simplify right side
    819,981x = 3,245,023,946,025
  5. Step 5: Solve for x
    x = 3,245,023,946,025/819,981
  6. Step 6: Final answer
    x = 3,957,437.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.