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Finding the Third Proportional to 902,628 and 1,960,866

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Solution

The third proportional to 902,628 and 1,960,866 is: 4,259,778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,628 : 1,960,866 = 1,960,866 : x
  2. Step 2: Convert to fraction form
    902,628/1,960,866 = 1,960,866/x
  3. Step 3: Cross multiply
    902,628x = 1,960,866 × 1,960,866
  4. Step 4: Simplify right side
    902,628x = 3,844,995,469,956
  5. Step 5: Solve for x
    x = 3,844,995,469,956/902,628
  6. Step 6: Final answer
    x = 4,259,778.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.