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Finding the Third Proportional to 2,479,530 and 3,829,836

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Solution

The third proportional to 2,479,530 and 3,829,836 is: 5,915,493.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479,530 : 3,829,836 = 3,829,836 : x
  2. Step 2: Convert to fraction form
    2,479,530/3,829,836 = 3,829,836/x
  3. Step 3: Cross multiply
    2,479,530x = 3,829,836 × 3,829,836
  4. Step 4: Simplify right side
    2,479,530x = 14,667,643,786,896
  5. Step 5: Solve for x
    x = 14,667,643,786,896/2,479,530
  6. Step 6: Final answer
    x = 5,915,493.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.