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Finding the Third Proportional to 629,235 and 996,831

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Solution

The third proportional to 629,235 and 996,831 is: 1,579,174.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,235 : 996,831 = 996,831 : x
  2. Step 2: Convert to fraction form
    629,235/996,831 = 996,831/x
  3. Step 3: Cross multiply
    629,235x = 996,831 × 996,831
  4. Step 4: Simplify right side
    629,235x = 993,672,042,561
  5. Step 5: Solve for x
    x = 993,672,042,561/629,235
  6. Step 6: Final answer
    x = 1,579,174.78

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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.