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Finding the Third Proportional to 819,969 and 1,801,371

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Solution

The third proportional to 819,969 and 1,801,371 is: 3,957,390.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,969 : 1,801,371 = 1,801,371 : x
  2. Step 2: Convert to fraction form
    819,969/1,801,371 = 1,801,371/x
  3. Step 3: Cross multiply
    819,969x = 1,801,371 × 1,801,371
  4. Step 4: Simplify right side
    819,969x = 3,244,937,479,641
  5. Step 5: Solve for x
    x = 3,244,937,479,641/819,969
  6. Step 6: Final answer
    x = 3,957,390.44

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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.