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Finding the Third Proportional to 892,571 and 1,962,267

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Solution

The third proportional to 892,571 and 1,962,267 is: 4,313,933.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,571 : 1,962,267 = 1,962,267 : x
  2. Step 2: Convert to fraction form
    892,571/1,962,267 = 1,962,267/x
  3. Step 3: Cross multiply
    892,571x = 1,962,267 × 1,962,267
  4. Step 4: Simplify right side
    892,571x = 3,850,491,779,289
  5. Step 5: Solve for x
    x = 3,850,491,779,289/892,571
  6. Step 6: Final answer
    x = 4,313,933.32

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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.