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Finding the Third Proportional to 892,401 and 1,340,561

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Solution

The third proportional to 892,401 and 1,340,561 is: 2,013,785.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,401 : 1,340,561 = 1,340,561 : x
  2. Step 2: Convert to fraction form
    892,401/1,340,561 = 1,340,561/x
  3. Step 3: Cross multiply
    892,401x = 1,340,561 × 1,340,561
  4. Step 4: Simplify right side
    892,401x = 1,797,103,794,721
  5. Step 5: Solve for x
    x = 1,797,103,794,721/892,401
  6. Step 6: Final answer
    x = 2,013,785.05

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Why These Related Problems?

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