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Finding the Third Proportional to 2,794,834 and 5,988,116

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Solution

The third proportional to 2,794,834 and 5,988,116 is: 12,829,933.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794,834 : 5,988,116 = 5,988,116 : x
  2. Step 2: Convert to fraction form
    2,794,834/5,988,116 = 5,988,116/x
  3. Step 3: Cross multiply
    2,794,834x = 5,988,116 × 5,988,116
  4. Step 4: Simplify right side
    2,794,834x = 35,857,533,229,456
  5. Step 5: Solve for x
    x = 35,857,533,229,456/2,794,834
  6. Step 6: Final answer
    x = 12,829,933.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.