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Finding the Third Proportional to 627,154 and 942,144

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Solution

The third proportional to 627,154 and 942,144 is: 1,415,338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,154 : 942,144 = 942,144 : x
  2. Step 2: Convert to fraction form
    627,154/942,144 = 942,144/x
  3. Step 3: Cross multiply
    627,154x = 942,144 × 942,144
  4. Step 4: Simplify right side
    627,154x = 887,635,316,736
  5. Step 5: Solve for x
    x = 887,635,316,736/627,154
  6. Step 6: Final answer
    x = 1,415,338.68

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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.