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Finding the Third Proportional to 409,340 and 861,096

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Solution

The third proportional to 409,340 and 861,096 is: 1,811,419.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,340 : 861,096 = 861,096 : x
  2. Step 2: Convert to fraction form
    409,340/861,096 = 861,096/x
  3. Step 3: Cross multiply
    409,340x = 861,096 × 861,096
  4. Step 4: Simplify right side
    409,340x = 741,486,321,216
  5. Step 5: Solve for x
    x = 741,486,321,216/409,340
  6. Step 6: Final answer
    x = 1,811,419.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.