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Finding the Third Proportional to 2,839,306 and 6,192,456

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Solution

The third proportional to 2,839,306 and 6,192,456 is: 13,505,593.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839,306 : 6,192,456 = 6,192,456 : x
  2. Step 2: Convert to fraction form
    2,839,306/6,192,456 = 6,192,456/x
  3. Step 3: Cross multiply
    2,839,306x = 6,192,456 × 6,192,456
  4. Step 4: Simplify right side
    2,839,306x = 38,346,511,311,936
  5. Step 5: Solve for x
    x = 38,346,511,311,936/2,839,306
  6. Step 6: Final answer
    x = 13,505,593.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.