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Finding the Third Proportional to 613,206 and 1,319,643

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Solution

The third proportional to 613,206 and 1,319,643 is: 2,839,922.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,206 : 1,319,643 = 1,319,643 : x
  2. Step 2: Convert to fraction form
    613,206/1,319,643 = 1,319,643/x
  3. Step 3: Cross multiply
    613,206x = 1,319,643 × 1,319,643
  4. Step 4: Simplify right side
    613,206x = 1,741,457,647,449
  5. Step 5: Solve for x
    x = 1,741,457,647,449/613,206
  6. Step 6: Final answer
    x = 2,839,922.71

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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.