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Finding the Third Proportional to 541,971.38 and 1,167,185.25

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Solution

The third proportional to 541,971.38 and 1,167,185.25 is: 2,513,640.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,971.38 : 1,167,185.25 = 1,167,185.25 : x
  2. Step 2: Convert to fraction form
    541,971.38/1,167,185.25 = 1,167,185.25/x
  3. Step 3: Cross multiply
    541,971.38x = 1,167,185.25 × 1,167,185.25
  4. Step 4: Simplify right side
    541,971.38x = 1,362,321,407,817.56
  5. Step 5: Solve for x
    x = 1,362,321,407,817.56/541,971.38
  6. Step 6: Final answer
    x = 2,513,640.89

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