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Finding the Third Proportional to 627,180 and 942,183

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Solution

The third proportional to 627,180 and 942,183 is: 1,415,397.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,180 : 942,183 = 942,183 : x
  2. Step 2: Convert to fraction form
    627,180/942,183 = 942,183/x
  3. Step 3: Cross multiply
    627,180x = 942,183 × 942,183
  4. Step 4: Simplify right side
    627,180x = 887,708,805,489
  5. Step 5: Solve for x
    x = 887,708,805,489/627,180
  6. Step 6: Final answer
    x = 1,415,397.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.