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Finding the Third Proportional to 801,608 and 1,200,204

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Solution

The third proportional to 801,608 and 1,200,204 is: 1,797,000.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,608 : 1,200,204 = 1,200,204 : x
  2. Step 2: Convert to fraction form
    801,608/1,200,204 = 1,200,204/x
  3. Step 3: Cross multiply
    801,608x = 1,200,204 × 1,200,204
  4. Step 4: Simplify right side
    801,608x = 1,440,489,641,616
  5. Step 5: Solve for x
    x = 1,440,489,641,616/801,608
  6. Step 6: Final answer
    x = 1,797,000.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.