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Finding the Third Proportional to 892,524 and 1,962,198

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Solution

The third proportional to 892,524 and 1,962,198 is: 4,313,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,524 : 1,962,198 = 1,962,198 : x
  2. Step 2: Convert to fraction form
    892,524/1,962,198 = 1,962,198/x
  3. Step 3: Cross multiply
    892,524x = 1,962,198 × 1,962,198
  4. Step 4: Simplify right side
    892,524x = 3,850,220,991,204
  5. Step 5: Solve for x
    x = 3,850,220,991,204/892,524
  6. Step 6: Final answer
    x = 4,313,857.10

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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.