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Finding the Third Proportional to 627,186 and 942,192

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Solution

The third proportional to 627,186 and 942,192 is: 1,415,410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,186 : 942,192 = 942,192 : x
  2. Step 2: Convert to fraction form
    627,186/942,192 = 942,192/x
  3. Step 3: Cross multiply
    627,186x = 942,192 × 942,192
  4. Step 4: Simplify right side
    627,186x = 887,725,764,864
  5. Step 5: Solve for x
    x = 887,725,764,864/627,186
  6. Step 6: Final answer
    x = 1,415,410.68

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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.