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Finding the Third Proportional to 788,924 and 1,728,016

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Solution

The third proportional to 788,924 and 1,728,016 is: 3,784,951.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,924 : 1,728,016 = 1,728,016 : x
  2. Step 2: Convert to fraction form
    788,924/1,728,016 = 1,728,016/x
  3. Step 3: Cross multiply
    788,924x = 1,728,016 × 1,728,016
  4. Step 4: Simplify right side
    788,924x = 2,986,039,296,256
  5. Step 5: Solve for x
    x = 2,986,039,296,256/788,924
  6. Step 6: Final answer
    x = 3,784,951.78

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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.