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Finding the Third Proportional to 2,786,350 and 6,120,694

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Solution

The third proportional to 2,786,350 and 6,120,694 is: 13,445,150.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786,350 : 6,120,694 = 6,120,694 : x
  2. Step 2: Convert to fraction form
    2,786,350/6,120,694 = 6,120,694/x
  3. Step 3: Cross multiply
    2,786,350x = 6,120,694 × 6,120,694
  4. Step 4: Simplify right side
    2,786,350x = 37,462,895,041,636
  5. Step 5: Solve for x
    x = 37,462,895,041,636/2,786,350
  6. Step 6: Final answer
    x = 13,445,150.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.