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Finding the Third Proportional to 1,821,217.50 and 2,672,777.25

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Solution

The third proportional to 1,821,217.50 and 2,672,777.25 is: 3,922,506.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821,217.50 : 2,672,777.25 = 2,672,777.25 : x
  2. Step 2: Convert to fraction form
    1,821,217.50/2,672,777.25 = 2,672,777.25/x
  3. Step 3: Cross multiply
    1,821,217.50x = 2,672,777.25 × 2,672,777.25
  4. Step 4: Simplify right side
    1,821,217.50x = 7,143,738,228,117.56
  5. Step 5: Solve for x
    x = 7,143,738,228,117.56/1,821,217.50
  6. Step 6: Final answer
    x = 3,922,506.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.