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Finding the Third Proportional to 2,505,212 and 5,489,222

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Solution

The third proportional to 2,505,212 and 5,489,222 is: 12,027,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505,212 : 5,489,222 = 5,489,222 : x
  2. Step 2: Convert to fraction form
    2,505,212/5,489,222 = 5,489,222/x
  3. Step 3: Cross multiply
    2,505,212x = 5,489,222 × 5,489,222
  4. Step 4: Simplify right side
    2,505,212x = 30,131,558,165,284
  5. Step 5: Solve for x
    x = 30,131,558,165,284/2,505,212
  6. Step 6: Final answer
    x = 12,027,548.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.