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Finding the Third Proportional to 541,974.75 and 1,167,192

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Solution

The third proportional to 541,974.75 and 1,167,192 is: 2,513,654.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,974.75 : 1,167,192 = 1,167,192 : x
  2. Step 2: Convert to fraction form
    541,974.75/1,167,192 = 1,167,192/x
  3. Step 3: Cross multiply
    541,974.75x = 1,167,192 × 1,167,192
  4. Step 4: Simplify right side
    541,974.75x = 1,362,337,164,864
  5. Step 5: Solve for x
    x = 1,362,337,164,864/541,974.75
  6. Step 6: Final answer
    x = 2,513,654.31

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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.