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Finding the Third Proportional to 422,901 and 911,819.53

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Solution

The third proportional to 422,901 and 911,819.53 is: 1,965,979.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,901 : 911,819.53 = 911,819.53 : x
  2. Step 2: Convert to fraction form
    422,901/911,819.53 = 911,819.53/x
  3. Step 3: Cross multiply
    422,901x = 911,819.53 × 911,819.53
  4. Step 4: Simplify right side
    422,901x = 831,414,857,568.97
  5. Step 5: Solve for x
    x = 831,414,857,568.97/422,901
  6. Step 6: Final answer
    x = 1,965,979.88

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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.