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Finding the Third Proportional to 422,956 and 911,936

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Solution

The third proportional to 422,956 and 911,936 is: 1,966,226.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,956 : 911,936 = 911,936 : x
  2. Step 2: Convert to fraction form
    422,956/911,936 = 911,936/x
  3. Step 3: Cross multiply
    422,956x = 911,936 × 911,936
  4. Step 4: Simplify right side
    422,956x = 831,627,268,096
  5. Step 5: Solve for x
    x = 831,627,268,096/422,956
  6. Step 6: Final answer
    x = 1,966,226.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.