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Finding the Third Proportional to 664,074 and 996,768

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Solution

The third proportional to 664,074 and 996,768 is: 1,496,138.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,074 : 996,768 = 996,768 : x
  2. Step 2: Convert to fraction form
    664,074/996,768 = 996,768/x
  3. Step 3: Cross multiply
    664,074x = 996,768 × 996,768
  4. Step 4: Simplify right side
    664,074x = 993,546,445,824
  5. Step 5: Solve for x
    x = 993,546,445,824/664,074
  6. Step 6: Final answer
    x = 1,496,138.15

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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.