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Finding the Third Proportional to 1,238,615 and 2,512,241

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Solution

The third proportional to 1,238,615 and 2,512,241 is: 5,095,493.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,615 : 2,512,241 = 2,512,241 : x
  2. Step 2: Convert to fraction form
    1,238,615/2,512,241 = 2,512,241/x
  3. Step 3: Cross multiply
    1,238,615x = 2,512,241 × 2,512,241
  4. Step 4: Simplify right side
    1,238,615x = 6,311,354,842,081
  5. Step 5: Solve for x
    x = 6,311,354,842,081/1,238,615
  6. Step 6: Final answer
    x = 5,095,493.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.