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Finding the Third Proportional to 820,000 and 1,801,432

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Solution

The third proportional to 820,000 and 1,801,432 is: 3,957,508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,000 : 1,801,432 = 1,801,432 : x
  2. Step 2: Convert to fraction form
    820,000/1,801,432 = 1,801,432/x
  3. Step 3: Cross multiply
    820,000x = 1,801,432 × 1,801,432
  4. Step 4: Simplify right side
    820,000x = 3,245,157,250,624
  5. Step 5: Solve for x
    x = 3,245,157,250,624/820,000
  6. Step 6: Final answer
    x = 3,957,508.84

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