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Finding the Third Proportional to 2,181,556 and 5,095,212

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Solution

The third proportional to 2,181,556 and 5,095,212 is: 11,900,306.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181,556 : 5,095,212 = 5,095,212 : x
  2. Step 2: Convert to fraction form
    2,181,556/5,095,212 = 5,095,212/x
  3. Step 3: Cross multiply
    2,181,556x = 5,095,212 × 5,095,212
  4. Step 4: Simplify right side
    2,181,556x = 25,961,185,324,944
  5. Step 5: Solve for x
    x = 25,961,185,324,944/2,181,556
  6. Step 6: Final answer
    x = 11,900,306.63

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.