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Finding the Third Proportional to 606,112 and 1,274,864

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Solution

The third proportional to 606,112 and 1,274,864 is: 2,681,481.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,112 : 1,274,864 = 1,274,864 : x
  2. Step 2: Convert to fraction form
    606,112/1,274,864 = 1,274,864/x
  3. Step 3: Cross multiply
    606,112x = 1,274,864 × 1,274,864
  4. Step 4: Simplify right side
    606,112x = 1,625,278,218,496
  5. Step 5: Solve for x
    x = 1,625,278,218,496/606,112
  6. Step 6: Final answer
    x = 2,681,481.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.