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Finding the Third Proportional to 542,871 and 1,192,815

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Solution

The third proportional to 542,871 and 1,192,815 is: 2,620,894.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,871 : 1,192,815 = 1,192,815 : x
  2. Step 2: Convert to fraction form
    542,871/1,192,815 = 1,192,815/x
  3. Step 3: Cross multiply
    542,871x = 1,192,815 × 1,192,815
  4. Step 4: Simplify right side
    542,871x = 1,422,807,624,225
  5. Step 5: Solve for x
    x = 1,422,807,624,225/542,871
  6. Step 6: Final answer
    x = 2,620,894.51

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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.