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Finding the Third Proportional to 1,342,197 and 2,839,857

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Solution

The third proportional to 1,342,197 and 2,839,857 is: 6,008,646.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342,197 : 2,839,857 = 2,839,857 : x
  2. Step 2: Convert to fraction form
    1,342,197/2,839,857 = 2,839,857/x
  3. Step 3: Cross multiply
    1,342,197x = 2,839,857 × 2,839,857
  4. Step 4: Simplify right side
    1,342,197x = 8,064,787,780,449
  5. Step 5: Solve for x
    x = 8,064,787,780,449/1,342,197
  6. Step 6: Final answer
    x = 6,008,646.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.