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Finding the Third Proportional to 819,975 and 1,801,383

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Solution

The third proportional to 819,975 and 1,801,383 is: 3,957,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,975 : 1,801,383 = 1,801,383 : x
  2. Step 2: Convert to fraction form
    819,975/1,801,383 = 1,801,383/x
  3. Step 3: Cross multiply
    819,975x = 1,801,383 × 1,801,383
  4. Step 4: Simplify right side
    819,975x = 3,244,980,712,689
  5. Step 5: Solve for x
    x = 3,244,980,712,689/819,975
  6. Step 6: Final answer
    x = 3,957,414.20

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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.