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Finding the Third Proportional to 2,022,529.50 and 4,332,912.75

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Solution

The third proportional to 2,022,529.50 and 4,332,912.75 is: 9,282,501.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022,529.50 : 4,332,912.75 = 4,332,912.75 : x
  2. Step 2: Convert to fraction form
    2,022,529.50/4,332,912.75 = 4,332,912.75/x
  3. Step 3: Cross multiply
    2,022,529.50x = 4,332,912.75 × 4,332,912.75
  4. Step 4: Simplify right side
    2,022,529.50x = 18,774,132,899,112.56
  5. Step 5: Solve for x
    x = 18,774,132,899,112.56/2,022,529.50
  6. Step 6: Final answer
    x = 9,282,501.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.