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Finding the Third Proportional to 996,093 and 1,494,873

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Solution

The third proportional to 996,093 and 1,494,873 is: 2,243,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,093 : 1,494,873 = 1,494,873 : x
  2. Step 2: Convert to fraction form
    996,093/1,494,873 = 1,494,873/x
  3. Step 3: Cross multiply
    996,093x = 1,494,873 × 1,494,873
  4. Step 4: Simplify right side
    996,093x = 2,234,645,286,129
  5. Step 5: Solve for x
    x = 2,234,645,286,129/996,093
  6. Step 6: Final answer
    x = 2,243,410.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.