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Finding the Third Proportional to 411,915 and 892,338

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Solution

The third proportional to 411,915 and 892,338 is: 1,933,085.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,915 : 892,338 = 892,338 : x
  2. Step 2: Convert to fraction form
    411,915/892,338 = 892,338/x
  3. Step 3: Cross multiply
    411,915x = 892,338 × 892,338
  4. Step 4: Simplify right side
    411,915x = 796,267,106,244
  5. Step 5: Solve for x
    x = 796,267,106,244/411,915
  6. Step 6: Final answer
    x = 1,933,085.97

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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.