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Finding the Third Proportional to 892,443 and 1,832,400

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Solution

The third proportional to 892,443 and 1,832,400 is: 3,762,357.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,443 : 1,832,400 = 1,832,400 : x
  2. Step 2: Convert to fraction form
    892,443/1,832,400 = 1,832,400/x
  3. Step 3: Cross multiply
    892,443x = 1,832,400 × 1,832,400
  4. Step 4: Simplify right side
    892,443x = 3,357,689,760,000
  5. Step 5: Solve for x
    x = 3,357,689,760,000/892,443
  6. Step 6: Final answer
    x = 3,762,357.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.