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Finding the Third Proportional to 541,954.41 and 1,180,427.06

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Solution

The third proportional to 541,954.41 and 1,180,427.06 is: 2,571,079.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,954.41 : 1,180,427.06 = 1,180,427.06 : x
  2. Step 2: Convert to fraction form
    541,954.41/1,180,427.06 = 1,180,427.06/x
  3. Step 3: Cross multiply
    541,954.41x = 1,180,427.06 × 1,180,427.06
  4. Step 4: Simplify right side
    541,954.41x = 1,393,408,049,882.38
  5. Step 5: Solve for x
    x = 1,393,408,049,882.38/541,954.41
  6. Step 6: Final answer
    x = 2,571,079.84

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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.