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Finding the Third Proportional to 547,623.28 and 1,198,314

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Solution

The third proportional to 547,623.28 and 1,198,314 is: 2,622,161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,623.28 : 1,198,314 = 1,198,314 : x
  2. Step 2: Convert to fraction form
    547,623.28/1,198,314 = 1,198,314/x
  3. Step 3: Cross multiply
    547,623.28x = 1,198,314 × 1,198,314
  4. Step 4: Simplify right side
    547,623.28x = 1,435,956,442,596
  5. Step 5: Solve for x
    x = 1,435,956,442,596/547,623.28
  6. Step 6: Final answer
    x = 2,622,161.06

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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.