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Finding the Third Proportional to 542,869 and 1,192,811

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Solution

The third proportional to 542,869 and 1,192,811 is: 2,620,886.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,869 : 1,192,811 = 1,192,811 : x
  2. Step 2: Convert to fraction form
    542,869/1,192,811 = 1,192,811/x
  3. Step 3: Cross multiply
    542,869x = 1,192,811 × 1,192,811
  4. Step 4: Simplify right side
    542,869x = 1,422,798,081,721
  5. Step 5: Solve for x
    x = 1,422,798,081,721/542,869
  6. Step 6: Final answer
    x = 2,620,886.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.