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Finding the Third Proportional to 542,036.81 and 1,167,321.38

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Solution

The third proportional to 542,036.81 and 1,167,321.38 is: 2,513,923.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,036.81 : 1,167,321.38 = 1,167,321.38 : x
  2. Step 2: Convert to fraction form
    542,036.81/1,167,321.38 = 1,167,321.38/x
  3. Step 3: Cross multiply
    542,036.81x = 1,167,321.38 × 1,167,321.38
  4. Step 4: Simplify right side
    542,036.81x = 1,362,639,192,531.89
  5. Step 5: Solve for x
    x = 1,362,639,192,531.89/542,036.81
  6. Step 6: Final answer
    x = 2,513,923.71

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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.