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Finding the Third Proportional to 542,872 and 1,192,816

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Solution

The third proportional to 542,872 and 1,192,816 is: 2,620,894.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,872 : 1,192,816 = 1,192,816 : x
  2. Step 2: Convert to fraction form
    542,872/1,192,816 = 1,192,816/x
  3. Step 3: Cross multiply
    542,872x = 1,192,816 × 1,192,816
  4. Step 4: Simplify right side
    542,872x = 1,422,810,009,856
  5. Step 5: Solve for x
    x = 1,422,810,009,856/542,872
  6. Step 6: Final answer
    x = 2,620,894.08

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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.