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Finding the Third Proportional to 410,162 and 892,132

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Solution

The third proportional to 410,162 and 892,132 is: 1,940,451.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,162 : 892,132 = 892,132 : x
  2. Step 2: Convert to fraction form
    410,162/892,132 = 892,132/x
  3. Step 3: Cross multiply
    410,162x = 892,132 × 892,132
  4. Step 4: Simplify right side
    410,162x = 795,899,505,424
  5. Step 5: Solve for x
    x = 795,899,505,424/410,162
  6. Step 6: Final answer
    x = 1,940,451.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.