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Finding the Third Proportional to 1,193,022 and 2,524,223.25

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Solution

The third proportional to 1,193,022 and 2,524,223.25 is: 5,340,809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193,022 : 2,524,223.25 = 2,524,223.25 : x
  2. Step 2: Convert to fraction form
    1,193,022/2,524,223.25 = 2,524,223.25/x
  3. Step 3: Cross multiply
    1,193,022x = 2,524,223.25 × 2,524,223.25
  4. Step 4: Simplify right side
    1,193,022x = 6,371,703,015,840.56
  5. Step 5: Solve for x
    x = 6,371,703,015,840.56/1,193,022
  6. Step 6: Final answer
    x = 5,340,809.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.