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Finding the Third Proportional to 394,544 and 862,916

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Solution

The third proportional to 394,544 and 862,916 is: 1,887,302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,544 : 862,916 = 862,916 : x
  2. Step 2: Convert to fraction form
    394,544/862,916 = 862,916/x
  3. Step 3: Cross multiply
    394,544x = 862,916 × 862,916
  4. Step 4: Simplify right side
    394,544x = 744,624,023,056
  5. Step 5: Solve for x
    x = 744,624,023,056/394,544
  6. Step 6: Final answer
    x = 1,887,302.87

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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.