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Finding the Third Proportional to 411,920 and 892,346

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Solution

The third proportional to 411,920 and 892,346 is: 1,933,097.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,920 : 892,346 = 892,346 : x
  2. Step 2: Convert to fraction form
    411,920/892,346 = 892,346/x
  3. Step 3: Cross multiply
    411,920x = 892,346 × 892,346
  4. Step 4: Simplify right side
    411,920x = 796,281,383,716
  5. Step 5: Solve for x
    x = 796,281,383,716/411,920
  6. Step 6: Final answer
    x = 1,933,097.16

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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.