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Finding the Third Proportional to 627,172 and 942,168

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Solution

The third proportional to 627,172 and 942,168 is: 1,415,370.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,172 : 942,168 = 942,168 : x
  2. Step 2: Convert to fraction form
    627,172/942,168 = 942,168/x
  3. Step 3: Cross multiply
    627,172x = 942,168 × 942,168
  4. Step 4: Simplify right side
    627,172x = 887,680,540,224
  5. Step 5: Solve for x
    x = 887,680,540,224/627,172
  6. Step 6: Final answer
    x = 1,415,370.17

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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.