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Finding the Third Proportional to 411,922 and 892,350

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Solution

The third proportional to 411,922 and 892,350 is: 1,933,105.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,922 : 892,350 = 892,350 : x
  2. Step 2: Convert to fraction form
    411,922/892,350 = 892,350/x
  3. Step 3: Cross multiply
    411,922x = 892,350 × 892,350
  4. Step 4: Simplify right side
    411,922x = 796,288,522,500
  5. Step 5: Solve for x
    x = 796,288,522,500/411,922
  6. Step 6: Final answer
    x = 1,933,105.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.