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Finding the Third Proportional to 3,206,675.75 and 4,814,235.75

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Solution

The third proportional to 3,206,675.75 and 4,814,235.75 is: 7,227,692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206,675.75 : 4,814,235.75 = 4,814,235.75 : x
  2. Step 2: Convert to fraction form
    3,206,675.75/4,814,235.75 = 4,814,235.75/x
  3. Step 3: Cross multiply
    3,206,675.75x = 4,814,235.75 × 4,814,235.75
  4. Step 4: Simplify right side
    3,206,675.75x = 23,176,865,856,578.06
  5. Step 5: Solve for x
    x = 23,176,865,856,578.06/3,206,675.75
  6. Step 6: Final answer
    x = 7,227,692.37

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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.