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Finding the Third Proportional to 785,544 and 1,724,016

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Solution

The third proportional to 785,544 and 1,724,016 is: 3,783,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,544 : 1,724,016 = 1,724,016 : x
  2. Step 2: Convert to fraction form
    785,544/1,724,016 = 1,724,016/x
  3. Step 3: Cross multiply
    785,544x = 1,724,016 × 1,724,016
  4. Step 4: Simplify right side
    785,544x = 2,972,231,168,256
  5. Step 5: Solve for x
    x = 2,972,231,168,256/785,544
  6. Step 6: Final answer
    x = 3,783,659.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.