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Finding the Third Proportional to 410,161 and 892,130

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Solution

The third proportional to 410,161 and 892,130 is: 1,940,447.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,161 : 892,130 = 892,130 : x
  2. Step 2: Convert to fraction form
    410,161/892,130 = 892,130/x
  3. Step 3: Cross multiply
    410,161x = 892,130 × 892,130
  4. Step 4: Simplify right side
    410,161x = 795,895,936,900
  5. Step 5: Solve for x
    x = 795,895,936,900/410,161
  6. Step 6: Final answer
    x = 1,940,447.62

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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.