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Finding the Third Proportional to 664,742 and 996,863

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Solution

The third proportional to 664,742 and 996,863 is: 1,494,919.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,742 : 996,863 = 996,863 : x
  2. Step 2: Convert to fraction form
    664,742/996,863 = 996,863/x
  3. Step 3: Cross multiply
    664,742x = 996,863 × 996,863
  4. Step 4: Simplify right side
    664,742x = 993,735,840,769
  5. Step 5: Solve for x
    x = 993,735,840,769/664,742
  6. Step 6: Final answer
    x = 1,494,919.59

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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.