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Finding the Third Proportional to 2,695,890 and 5,770,857

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Solution

The third proportional to 2,695,890 and 5,770,857 is: 12,353,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695,890 : 5,770,857 = 5,770,857 : x
  2. Step 2: Convert to fraction form
    2,695,890/5,770,857 = 5,770,857/x
  3. Step 3: Cross multiply
    2,695,890x = 5,770,857 × 5,770,857
  4. Step 4: Simplify right side
    2,695,890x = 33,302,790,514,449
  5. Step 5: Solve for x
    x = 33,302,790,514,449/2,695,890
  6. Step 6: Final answer
    x = 12,353,171.13

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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.