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Finding the Third Proportional to 2,822,178 and 6,206,212

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Solution

The third proportional to 2,822,178 and 6,206,212 is: 13,647,993.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822,178 : 6,206,212 = 6,206,212 : x
  2. Step 2: Convert to fraction form
    2,822,178/6,206,212 = 6,206,212/x
  3. Step 3: Cross multiply
    2,822,178x = 6,206,212 × 6,206,212
  4. Step 4: Simplify right side
    2,822,178x = 38,517,067,388,944
  5. Step 5: Solve for x
    x = 38,517,067,388,944/2,822,178
  6. Step 6: Final answer
    x = 13,647,993.64

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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.