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Finding the Third Proportional to 484,736 and 992,977

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Solution

The third proportional to 484,736 and 992,977 is: 2,034,103.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,736 : 992,977 = 992,977 : x
  2. Step 2: Convert to fraction form
    484,736/992,977 = 992,977/x
  3. Step 3: Cross multiply
    484,736x = 992,977 × 992,977
  4. Step 4: Simplify right side
    484,736x = 986,003,322,529
  5. Step 5: Solve for x
    x = 986,003,322,529/484,736
  6. Step 6: Final answer
    x = 2,034,103.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.