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Finding the Third Proportional to 471,919.50 and 1,022,571

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Solution

The third proportional to 471,919.50 and 1,022,571 is: 2,215,741.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,919.50 : 1,022,571 = 1,022,571 : x
  2. Step 2: Convert to fraction form
    471,919.50/1,022,571 = 1,022,571/x
  3. Step 3: Cross multiply
    471,919.50x = 1,022,571 × 1,022,571
  4. Step 4: Simplify right side
    471,919.50x = 1,045,651,450,041
  5. Step 5: Solve for x
    x = 1,045,651,450,041/471,919.50
  6. Step 6: Final answer
    x = 2,215,741.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.