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Finding the Third Proportional to 613,208 and 1,319,647

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Solution

The third proportional to 613,208 and 1,319,647 is: 2,839,930.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,208 : 1,319,647 = 1,319,647 : x
  2. Step 2: Convert to fraction form
    613,208/1,319,647 = 1,319,647/x
  3. Step 3: Cross multiply
    613,208x = 1,319,647 × 1,319,647
  4. Step 4: Simplify right side
    613,208x = 1,741,468,204,609
  5. Step 5: Solve for x
    x = 1,741,468,204,609/613,208
  6. Step 6: Final answer
    x = 2,839,930.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.