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Finding the Third Proportional to 800,508 and 1,217,267

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Solution

The third proportional to 800,508 and 1,217,267 is: 1,850,998.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,508 : 1,217,267 = 1,217,267 : x
  2. Step 2: Convert to fraction form
    800,508/1,217,267 = 1,217,267/x
  3. Step 3: Cross multiply
    800,508x = 1,217,267 × 1,217,267
  4. Step 4: Simplify right side
    800,508x = 1,481,738,949,289
  5. Step 5: Solve for x
    x = 1,481,738,949,289/800,508
  6. Step 6: Final answer
    x = 1,850,998.30

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.