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Finding the Third Proportional to 606,193 and 1,276,286

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Solution

The third proportional to 606,193 and 1,276,286 is: 2,687,107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,193 : 1,276,286 = 1,276,286 : x
  2. Step 2: Convert to fraction form
    606,193/1,276,286 = 1,276,286/x
  3. Step 3: Cross multiply
    606,193x = 1,276,286 × 1,276,286
  4. Step 4: Simplify right side
    606,193x = 1,628,905,953,796
  5. Step 5: Solve for x
    x = 1,628,905,953,796/606,193
  6. Step 6: Final answer
    x = 2,687,107.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.