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Finding the Third Proportional to 451,878 and 978,150

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Solution

The third proportional to 451,878 and 978,150 is: 2,117,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,878 : 978,150 = 978,150 : x
  2. Step 2: Convert to fraction form
    451,878/978,150 = 978,150/x
  3. Step 3: Cross multiply
    451,878x = 978,150 × 978,150
  4. Step 4: Simplify right side
    451,878x = 956,777,422,500
  5. Step 5: Solve for x
    x = 956,777,422,500/451,878
  6. Step 6: Final answer
    x = 2,117,335.70

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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.