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Finding the Third Proportional to 629,239 and 996,837

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Solution

The third proportional to 629,239 and 996,837 is: 1,579,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,239 : 996,837 = 996,837 : x
  2. Step 2: Convert to fraction form
    629,239/996,837 = 996,837/x
  3. Step 3: Cross multiply
    629,239x = 996,837 × 996,837
  4. Step 4: Simplify right side
    629,239x = 993,684,004,569
  5. Step 5: Solve for x
    x = 993,684,004,569/629,239
  6. Step 6: Final answer
    x = 1,579,183.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.