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Finding the Third Proportional to 892,508 and 1,962,163

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Solution

The third proportional to 892,508 and 1,962,163 is: 4,313,780.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,508 : 1,962,163 = 1,962,163 : x
  2. Step 2: Convert to fraction form
    892,508/1,962,163 = 1,962,163/x
  3. Step 3: Cross multiply
    892,508x = 1,962,163 × 1,962,163
  4. Step 4: Simplify right side
    892,508x = 3,850,083,638,569
  5. Step 5: Solve for x
    x = 3,850,083,638,569/892,508
  6. Step 6: Final answer
    x = 4,313,780.54

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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.