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Finding the Third Proportional to 409,247 and 892,831

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Solution

The third proportional to 409,247 and 892,831 is: 1,947,838.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,247 : 892,831 = 892,831 : x
  2. Step 2: Convert to fraction form
    409,247/892,831 = 892,831/x
  3. Step 3: Cross multiply
    409,247x = 892,831 × 892,831
  4. Step 4: Simplify right side
    409,247x = 797,147,194,561
  5. Step 5: Solve for x
    x = 797,147,194,561/409,247
  6. Step 6: Final answer
    x = 1,947,838.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.