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Finding the Third Proportional to 627,190 and 942,198

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Solution

The third proportional to 627,190 and 942,198 is: 1,415,419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,190 : 942,198 = 942,198 : x
  2. Step 2: Convert to fraction form
    627,190/942,198 = 942,198/x
  3. Step 3: Cross multiply
    627,190x = 942,198 × 942,198
  4. Step 4: Simplify right side
    627,190x = 887,737,071,204
  5. Step 5: Solve for x
    x = 887,737,071,204/627,190
  6. Step 6: Final answer
    x = 1,415,419.68

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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.