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Finding the Third Proportional to 541,964.25 and 1,180,443.38

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Solution

The third proportional to 541,964.25 and 1,180,443.38 is: 2,571,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,964.25 : 1,180,443.38 = 1,180,443.38 : x
  2. Step 2: Convert to fraction form
    541,964.25/1,180,443.38 = 1,180,443.38/x
  3. Step 3: Cross multiply
    541,964.25x = 1,180,443.38 × 1,180,443.38
  4. Step 4: Simplify right side
    541,964.25x = 1,393,446,561,581.39
  5. Step 5: Solve for x
    x = 1,393,446,561,581.39/541,964.25
  6. Step 6: Final answer
    x = 2,571,104.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.