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Finding the Third Proportional to 2,564,786 and 3,987,183

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Solution

The third proportional to 2,564,786 and 3,987,183 is: 6,198,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564,786 : 3,987,183 = 3,987,183 : x
  2. Step 2: Convert to fraction form
    2,564,786/3,987,183 = 3,987,183/x
  3. Step 3: Cross multiply
    2,564,786x = 3,987,183 × 3,987,183
  4. Step 4: Simplify right side
    2,564,786x = 15,897,628,275,489
  5. Step 5: Solve for x
    x = 15,897,628,275,489/2,564,786
  6. Step 6: Final answer
    x = 6,198,422.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.