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Finding the Third Proportional to 874,692.50 and 1,819,215

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Solution

The third proportional to 874,692.50 and 1,819,215 is: 3,783,664.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,692.50 : 1,819,215 = 1,819,215 : x
  2. Step 2: Convert to fraction form
    874,692.50/1,819,215 = 1,819,215/x
  3. Step 3: Cross multiply
    874,692.50x = 1,819,215 × 1,819,215
  4. Step 4: Simplify right side
    874,692.50x = 3,309,543,216,225
  5. Step 5: Solve for x
    x = 3,309,543,216,225/874,692.50
  6. Step 6: Final answer
    x = 3,783,664.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.