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Finding the Third Proportional to 451,840 and 978,067

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Solution

The third proportional to 451,840 and 978,067 is: 2,117,154.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,840 : 978,067 = 978,067 : x
  2. Step 2: Convert to fraction form
    451,840/978,067 = 978,067/x
  3. Step 3: Cross multiply
    451,840x = 978,067 × 978,067
  4. Step 4: Simplify right side
    451,840x = 956,615,056,489
  5. Step 5: Solve for x
    x = 956,615,056,489/451,840
  6. Step 6: Final answer
    x = 2,117,154.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.