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Finding the Third Proportional to 523,845 and 1,131,162

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Solution

The third proportional to 523,845 and 1,131,162 is: 2,442,568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,845 : 1,131,162 = 1,131,162 : x
  2. Step 2: Convert to fraction form
    523,845/1,131,162 = 1,131,162/x
  3. Step 3: Cross multiply
    523,845x = 1,131,162 × 1,131,162
  4. Step 4: Simplify right side
    523,845x = 1,279,527,470,244
  5. Step 5: Solve for x
    x = 1,279,527,470,244/523,845
  6. Step 6: Final answer
    x = 2,442,568.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.