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Finding the Third Proportional to 2,305,209 and 3,703,851

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Solution

The third proportional to 2,305,209 and 3,703,851 is: 5,951,092.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,209 : 3,703,851 = 3,703,851 : x
  2. Step 2: Convert to fraction form
    2,305,209/3,703,851 = 3,703,851/x
  3. Step 3: Cross multiply
    2,305,209x = 3,703,851 × 3,703,851
  4. Step 4: Simplify right side
    2,305,209x = 13,718,512,230,201
  5. Step 5: Solve for x
    x = 13,718,512,230,201/2,305,209
  6. Step 6: Final answer
    x = 5,951,092.60

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.