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Finding the Third Proportional to 2,131,538 and 3,190,819

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Solution

The third proportional to 2,131,538 and 3,190,819 is: 4,776,516.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131,538 : 3,190,819 = 3,190,819 : x
  2. Step 2: Convert to fraction form
    2,131,538/3,190,819 = 3,190,819/x
  3. Step 3: Cross multiply
    2,131,538x = 3,190,819 × 3,190,819
  4. Step 4: Simplify right side
    2,131,538x = 10,181,325,890,761
  5. Step 5: Solve for x
    x = 10,181,325,890,761/2,131,538
  6. Step 6: Final answer
    x = 4,776,516.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.