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Finding the Third Proportional to 627,174 and 942,174

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Solution

The third proportional to 627,174 and 942,174 is: 1,415,383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,174 : 942,174 = 942,174 : x
  2. Step 2: Convert to fraction form
    627,174/942,174 = 942,174/x
  3. Step 3: Cross multiply
    627,174x = 942,174 × 942,174
  4. Step 4: Simplify right side
    627,174x = 887,691,846,276
  5. Step 5: Solve for x
    x = 887,691,846,276/627,174
  6. Step 6: Final answer
    x = 1,415,383.68

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