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Finding the Third Proportional to 542,876 and 1,072,127

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Solution

The third proportional to 542,876 and 1,072,127 is: 2,117,345.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,876 : 1,072,127 = 1,072,127 : x
  2. Step 2: Convert to fraction form
    542,876/1,072,127 = 1,072,127/x
  3. Step 3: Cross multiply
    542,876x = 1,072,127 × 1,072,127
  4. Step 4: Simplify right side
    542,876x = 1,149,456,304,129
  5. Step 5: Solve for x
    x = 1,149,456,304,129/542,876
  6. Step 6: Final answer
    x = 2,117,345.96

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.