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Finding the Third Proportional to 728,288 and 1,589,984

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Solution

The third proportional to 728,288 and 1,589,984 is: 3,471,221.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,288 : 1,589,984 = 1,589,984 : x
  2. Step 2: Convert to fraction form
    728,288/1,589,984 = 1,589,984/x
  3. Step 3: Cross multiply
    728,288x = 1,589,984 × 1,589,984
  4. Step 4: Simplify right side
    728,288x = 2,528,049,120,256
  5. Step 5: Solve for x
    x = 2,528,049,120,256/728,288
  6. Step 6: Final answer
    x = 3,471,221.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.