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Finding the Third Proportional to 627,512 and 947,180

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Solution

The third proportional to 627,512 and 947,180 is: 1,429,693.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,512 : 947,180 = 947,180 : x
  2. Step 2: Convert to fraction form
    627,512/947,180 = 947,180/x
  3. Step 3: Cross multiply
    627,512x = 947,180 × 947,180
  4. Step 4: Simplify right side
    627,512x = 897,149,952,400
  5. Step 5: Solve for x
    x = 897,149,952,400/627,512
  6. Step 6: Final answer
    x = 1,429,693.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.