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Finding the Third Proportional to 751,014 and 1,664,183

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Solution

The third proportional to 751,014 and 1,664,183 is: 3,687,687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,014 : 1,664,183 = 1,664,183 : x
  2. Step 2: Convert to fraction form
    751,014/1,664,183 = 1,664,183/x
  3. Step 3: Cross multiply
    751,014x = 1,664,183 × 1,664,183
  4. Step 4: Simplify right side
    751,014x = 2,769,505,057,489
  5. Step 5: Solve for x
    x = 2,769,505,057,489/751,014
  6. Step 6: Final answer
    x = 3,687,687.66

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.