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Finding the Third Proportional to 409,122 and 892,593

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Solution

The third proportional to 409,122 and 892,593 is: 1,947,395.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,122 : 892,593 = 892,593 : x
  2. Step 2: Convert to fraction form
    409,122/892,593 = 892,593/x
  3. Step 3: Cross multiply
    409,122x = 892,593 × 892,593
  4. Step 4: Simplify right side
    409,122x = 796,722,263,649
  5. Step 5: Solve for x
    x = 796,722,263,649/409,122
  6. Step 6: Final answer
    x = 1,947,395.31

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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.