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Finding the Third Proportional to 1,597,997 and 3,433,162

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Solution

The third proportional to 1,597,997 and 3,433,162 is: 7,375,859.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597,997 : 3,433,162 = 3,433,162 : x
  2. Step 2: Convert to fraction form
    1,597,997/3,433,162 = 3,433,162/x
  3. Step 3: Cross multiply
    1,597,997x = 3,433,162 × 3,433,162
  4. Step 4: Simplify right side
    1,597,997x = 11,786,601,318,244
  5. Step 5: Solve for x
    x = 11,786,601,318,244/1,597,997
  6. Step 6: Final answer
    x = 7,375,859.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.