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Finding the Third Proportional to 636,482 and 892,227

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Solution

The third proportional to 636,482 and 892,227 is: 1,250,732.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,482 : 892,227 = 892,227 : x
  2. Step 2: Convert to fraction form
    636,482/892,227 = 892,227/x
  3. Step 3: Cross multiply
    636,482x = 892,227 × 892,227
  4. Step 4: Simplify right side
    636,482x = 796,069,019,529
  5. Step 5: Solve for x
    x = 796,069,019,529/636,482
  6. Step 6: Final answer
    x = 1,250,732.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.