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Finding the Third Proportional to 2,932,172 and 4,129,067

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Solution

The third proportional to 2,932,172 and 4,129,067 is: 5,814,527.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932,172 : 4,129,067 = 4,129,067 : x
  2. Step 2: Convert to fraction form
    2,932,172/4,129,067 = 4,129,067/x
  3. Step 3: Cross multiply
    2,932,172x = 4,129,067 × 4,129,067
  4. Step 4: Simplify right side
    2,932,172x = 17,049,194,290,489
  5. Step 5: Solve for x
    x = 17,049,194,290,489/2,932,172
  6. Step 6: Final answer
    x = 5,814,527.35

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.