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Finding the Third Proportional to 1,286,847 and 2,541,399

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Solution

The third proportional to 1,286,847 and 2,541,399 is: 5,019,018.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,847 : 2,541,399 = 2,541,399 : x
  2. Step 2: Convert to fraction form
    1,286,847/2,541,399 = 2,541,399/x
  3. Step 3: Cross multiply
    1,286,847x = 2,541,399 × 2,541,399
  4. Step 4: Simplify right side
    1,286,847x = 6,458,708,877,201
  5. Step 5: Solve for x
    x = 6,458,708,877,201/1,286,847
  6. Step 6: Final answer
    x = 5,019,018.48

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.