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Finding the Third Proportional to 673,793 and 1,469,524

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Solution

The third proportional to 673,793 and 1,469,524 is: 3,204,991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,793 : 1,469,524 = 1,469,524 : x
  2. Step 2: Convert to fraction form
    673,793/1,469,524 = 1,469,524/x
  3. Step 3: Cross multiply
    673,793x = 1,469,524 × 1,469,524
  4. Step 4: Simplify right side
    673,793x = 2,159,500,786,576
  5. Step 5: Solve for x
    x = 2,159,500,786,576/673,793
  6. Step 6: Final answer
    x = 3,204,991.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.