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Finding the Third Proportional to 394,536 and 862,880

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Solution

The third proportional to 394,536 and 862,880 is: 1,887,183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,536 : 862,880 = 862,880 : x
  2. Step 2: Convert to fraction form
    394,536/862,880 = 862,880/x
  3. Step 3: Cross multiply
    394,536x = 862,880 × 862,880
  4. Step 4: Simplify right side
    394,536x = 744,561,894,400
  5. Step 5: Solve for x
    x = 744,561,894,400/394,536
  6. Step 6: Final answer
    x = 1,887,183.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.