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Finding the Third Proportional to 1,043,158.50 and 2,198,400

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Solution

The third proportional to 1,043,158.50 and 2,198,400 is: 4,633,008.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043,158.50 : 2,198,400 = 2,198,400 : x
  2. Step 2: Convert to fraction form
    1,043,158.50/2,198,400 = 2,198,400/x
  3. Step 3: Cross multiply
    1,043,158.50x = 2,198,400 × 2,198,400
  4. Step 4: Simplify right side
    1,043,158.50x = 4,832,962,560,000
  5. Step 5: Solve for x
    x = 4,832,962,560,000/1,043,158.50
  6. Step 6: Final answer
    x = 4,633,008.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.