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Finding the Third Proportional to 2,102,824.50 and 3,150,738.56

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Solution

The third proportional to 2,102,824.50 and 3,150,738.56 is: 4,720,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,824.50 : 3,150,738.56 = 3,150,738.56 : x
  2. Step 2: Convert to fraction form
    2,102,824.50/3,150,738.56 = 3,150,738.56/x
  3. Step 3: Cross multiply
    2,102,824.50x = 3,150,738.56 × 3,150,738.56
  4. Step 4: Simplify right side
    2,102,824.50x = 9,927,153,489,224.57
  5. Step 5: Solve for x
    x = 9,927,153,489,224.57/2,102,824.50
  6. Step 6: Final answer
    x = 4,720,866.38

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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.