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Finding the Third Proportional to 1,049,200 and 2,247,251

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Solution

The third proportional to 1,049,200 and 2,247,251 is: 4,813,321.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,200 : 2,247,251 = 2,247,251 : x
  2. Step 2: Convert to fraction form
    1,049,200/2,247,251 = 2,247,251/x
  3. Step 3: Cross multiply
    1,049,200x = 2,247,251 × 2,247,251
  4. Step 4: Simplify right side
    1,049,200x = 5,050,137,057,001
  5. Step 5: Solve for x
    x = 5,050,137,057,001/1,049,200
  6. Step 6: Final answer
    x = 4,813,321.63

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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.