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Finding the Third Proportional to 777,177.75 and 1,198,977

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Solution

The third proportional to 777,177.75 and 1,198,977 is: 1,849,700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,177.75 : 1,198,977 = 1,198,977 : x
  2. Step 2: Convert to fraction form
    777,177.75/1,198,977 = 1,198,977/x
  3. Step 3: Cross multiply
    777,177.75x = 1,198,977 × 1,198,977
  4. Step 4: Simplify right side
    777,177.75x = 1,437,545,846,529
  5. Step 5: Solve for x
    x = 1,437,545,846,529/777,177.75
  6. Step 6: Final answer
    x = 1,849,700.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.