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Finding the Third Proportional to 468,972 and 954,512

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Solution

The third proportional to 468,972 and 954,512 is: 1,942,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,972 : 954,512 = 954,512 : x
  2. Step 2: Convert to fraction form
    468,972/954,512 = 954,512/x
  3. Step 3: Cross multiply
    468,972x = 954,512 × 954,512
  4. Step 4: Simplify right side
    468,972x = 911,093,158,144
  5. Step 5: Solve for x
    x = 911,093,158,144/468,972
  6. Step 6: Final answer
    x = 1,942,745.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.