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Finding the Third Proportional to 664,756 and 996,888

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Solution

The third proportional to 664,756 and 996,888 is: 1,494,963.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,756 : 996,888 = 996,888 : x
  2. Step 2: Convert to fraction form
    664,756/996,888 = 996,888/x
  3. Step 3: Cross multiply
    664,756x = 996,888 × 996,888
  4. Step 4: Simplify right side
    664,756x = 993,785,684,544
  5. Step 5: Solve for x
    x = 993,785,684,544/664,756
  6. Step 6: Final answer
    x = 1,494,963.09

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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.