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Finding the Third Proportional to 1,723,737.25 and 2,777,400

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Solution

The third proportional to 1,723,737.25 and 2,777,400 is: 4,475,131.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723,737.25 : 2,777,400 = 2,777,400 : x
  2. Step 2: Convert to fraction form
    1,723,737.25/2,777,400 = 2,777,400/x
  3. Step 3: Cross multiply
    1,723,737.25x = 2,777,400 × 2,777,400
  4. Step 4: Simplify right side
    1,723,737.25x = 7,713,950,760,000
  5. Step 5: Solve for x
    x = 7,713,950,760,000/1,723,737.25
  6. Step 6: Final answer
    x = 4,475,131.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.