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Finding the Third Proportional to 2,260,814 and 3,391,256

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Solution

The third proportional to 2,260,814 and 3,391,256 is: 5,086,936.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260,814 : 3,391,256 = 3,391,256 : x
  2. Step 2: Convert to fraction form
    2,260,814/3,391,256 = 3,391,256/x
  3. Step 3: Cross multiply
    2,260,814x = 3,391,256 × 3,391,256
  4. Step 4: Simplify right side
    2,260,814x = 11,500,617,257,536
  5. Step 5: Solve for x
    x = 11,500,617,257,536/2,260,814
  6. Step 6: Final answer
    x = 5,086,936.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.