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Finding the Third Proportional to 533,219.20 and 1,141,172.30

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Solution

The third proportional to 533,219.20 and 1,141,172.30 is: 2,442,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,219.20 : 1,141,172.30 = 1,141,172.30 : x
  2. Step 2: Convert to fraction form
    533,219.20/1,141,172.30 = 1,141,172.30/x
  3. Step 3: Cross multiply
    533,219.20x = 1,141,172.30 × 1,141,172.30
  4. Step 4: Simplify right side
    533,219.20x = 1,302,274,211,154.96
  5. Step 5: Solve for x
    x = 1,302,274,211,154.96/533,219.20
  6. Step 6: Final answer
    x = 2,442,286.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.