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Finding the Third Proportional to 1,109,147.50 and 2,270,837

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Solution

The third proportional to 1,109,147.50 and 2,270,837 is: 4,649,246.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,147.50 : 2,270,837 = 2,270,837 : x
  2. Step 2: Convert to fraction form
    1,109,147.50/2,270,837 = 2,270,837/x
  3. Step 3: Cross multiply
    1,109,147.50x = 2,270,837 × 2,270,837
  4. Step 4: Simplify right side
    1,109,147.50x = 5,156,700,680,569
  5. Step 5: Solve for x
    x = 5,156,700,680,569/1,109,147.50
  6. Step 6: Final answer
    x = 4,649,246.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.