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Finding the Third Proportional to 542,942 and 1,169,127

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Solution

The third proportional to 542,942 and 1,169,127 is: 2,517,502.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,942 : 1,169,127 = 1,169,127 : x
  2. Step 2: Convert to fraction form
    542,942/1,169,127 = 1,169,127/x
  3. Step 3: Cross multiply
    542,942x = 1,169,127 × 1,169,127
  4. Step 4: Simplify right side
    542,942x = 1,366,857,942,129
  5. Step 5: Solve for x
    x = 1,366,857,942,129/542,942
  6. Step 6: Final answer
    x = 2,517,502.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.