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Finding the Third Proportional to 629,311,357 and 987,203,823

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Solution

The third proportional to 629,311,357 and 987,203,823 is: 1,548,631,495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,311,357 : 987,203,823 = 987,203,823 : x
  2. Step 2: Convert to fraction form
    629,311,357/987,203,823 = 987,203,823/x
  3. Step 3: Cross multiply
    629,311,357x = 987,203,823 × 987,203,823
  4. Step 4: Simplify right side
    629,311,357x = 974,571,388,145,815,296
  5. Step 5: Solve for x
    x = 974,571,388,145,815,296/629,311,357
  6. Step 6: Final answer
    x = 1,548,631,495.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.