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Finding the Third Proportional to 1,609,171.50 and 3,410,253

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Solution

The third proportional to 1,609,171.50 and 3,410,253 is: 7,227,213.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609,171.50 : 3,410,253 = 3,410,253 : x
  2. Step 2: Convert to fraction form
    1,609,171.50/3,410,253 = 3,410,253/x
  3. Step 3: Cross multiply
    1,609,171.50x = 3,410,253 × 3,410,253
  4. Step 4: Simplify right side
    1,609,171.50x = 11,629,825,524,009
  5. Step 5: Solve for x
    x = 11,629,825,524,009/1,609,171.50
  6. Step 6: Final answer
    x = 7,227,213.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.