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Finding the Third Proportional to 946,125 and 1,469,016

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Solution

The third proportional to 946,125 and 1,469,016 is: 2,280,891.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,125 : 1,469,016 = 1,469,016 : x
  2. Step 2: Convert to fraction form
    946,125/1,469,016 = 1,469,016/x
  3. Step 3: Cross multiply
    946,125x = 1,469,016 × 1,469,016
  4. Step 4: Simplify right side
    946,125x = 2,158,008,008,256
  5. Step 5: Solve for x
    x = 2,158,008,008,256/946,125
  6. Step 6: Final answer
    x = 2,280,891.01

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.