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Finding the Third Proportional to 731,121 and 978,016

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Solution

The third proportional to 731,121 and 978,016 is: 1,308,285.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,121 : 978,016 = 978,016 : x
  2. Step 2: Convert to fraction form
    731,121/978,016 = 978,016/x
  3. Step 3: Cross multiply
    731,121x = 978,016 × 978,016
  4. Step 4: Simplify right side
    731,121x = 956,515,296,256
  5. Step 5: Solve for x
    x = 956,515,296,256/731,121
  6. Step 6: Final answer
    x = 1,308,285.90

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.