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Finding the Third Proportional to 408,074 and 883,936

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Solution

The third proportional to 408,074 and 883,936 is: 1,914,708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,074 : 883,936 = 883,936 : x
  2. Step 2: Convert to fraction form
    408,074/883,936 = 883,936/x
  3. Step 3: Cross multiply
    408,074x = 883,936 × 883,936
  4. Step 4: Simplify right side
    408,074x = 781,342,852,096
  5. Step 5: Solve for x
    x = 781,342,852,096/408,074
  6. Step 6: Final answer
    x = 1,914,708.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.