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Finding the Third Proportional to 550,524 and 1,167,204

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Solution

The third proportional to 550,524 and 1,167,204 is: 2,474,669.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,524 : 1,167,204 = 1,167,204 : x
  2. Step 2: Convert to fraction form
    550,524/1,167,204 = 1,167,204/x
  3. Step 3: Cross multiply
    550,524x = 1,167,204 × 1,167,204
  4. Step 4: Simplify right side
    550,524x = 1,362,365,177,616
  5. Step 5: Solve for x
    x = 1,362,365,177,616/550,524
  6. Step 6: Final answer
    x = 2,474,669.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.