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Finding the Third Proportional to 541,799.75 and 1,186,368.25

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Solution

The third proportional to 541,799.75 and 1,186,368.25 is: 2,597,767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,799.75 : 1,186,368.25 = 1,186,368.25 : x
  2. Step 2: Convert to fraction form
    541,799.75/1,186,368.25 = 1,186,368.25/x
  3. Step 3: Cross multiply
    541,799.75x = 1,186,368.25 × 1,186,368.25
  4. Step 4: Simplify right side
    541,799.75x = 1,407,469,624,608.06
  5. Step 5: Solve for x
    x = 1,407,469,624,608.06/541,799.75
  6. Step 6: Final answer
    x = 2,597,767.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.