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Finding the Third Proportional to 422,030 and 996,251

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Solution

The third proportional to 422,030 and 996,251 is: 2,351,766.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,030 : 996,251 = 996,251 : x
  2. Step 2: Convert to fraction form
    422,030/996,251 = 996,251/x
  3. Step 3: Cross multiply
    422,030x = 996,251 × 996,251
  4. Step 4: Simplify right side
    422,030x = 992,516,055,001
  5. Step 5: Solve for x
    x = 992,516,055,001/422,030
  6. Step 6: Final answer
    x = 2,351,766.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.