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Finding the Third Proportional to 2,646,602 and 5,741,212

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Solution

The third proportional to 2,646,602 and 5,741,212 is: 12,454,277.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646,602 : 5,741,212 = 5,741,212 : x
  2. Step 2: Convert to fraction form
    2,646,602/5,741,212 = 5,741,212/x
  3. Step 3: Cross multiply
    2,646,602x = 5,741,212 × 5,741,212
  4. Step 4: Simplify right side
    2,646,602x = 32,961,515,228,944
  5. Step 5: Solve for x
    x = 32,961,515,228,944/2,646,602
  6. Step 6: Final answer
    x = 12,454,277.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.