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Finding the Third Proportional to 629,237 and 996,834

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Solution

The third proportional to 629,237 and 996,834 is: 1,579,179.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,237 : 996,834 = 996,834 : x
  2. Step 2: Convert to fraction form
    629,237/996,834 = 996,834/x
  3. Step 3: Cross multiply
    629,237x = 996,834 × 996,834
  4. Step 4: Simplify right side
    629,237x = 993,678,023,556
  5. Step 5: Solve for x
    x = 993,678,023,556/629,237
  6. Step 6: Final answer
    x = 1,579,179.27

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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.