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Finding the Third Proportional to 383,834 and 892,301

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Solution

The third proportional to 383,834 and 892,301 is: 2,074,337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,834 : 892,301 = 892,301 : x
  2. Step 2: Convert to fraction form
    383,834/892,301 = 892,301/x
  3. Step 3: Cross multiply
    383,834x = 892,301 × 892,301
  4. Step 4: Simplify right side
    383,834x = 796,201,074,601
  5. Step 5: Solve for x
    x = 796,201,074,601/383,834
  6. Step 6: Final answer
    x = 2,074,337.02

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.