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Finding the Third Proportional to 722,941 and 1,082,223

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Solution

The third proportional to 722,941 and 1,082,223 is: 1,620,058.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,941 : 1,082,223 = 1,082,223 : x
  2. Step 2: Convert to fraction form
    722,941/1,082,223 = 1,082,223/x
  3. Step 3: Cross multiply
    722,941x = 1,082,223 × 1,082,223
  4. Step 4: Simplify right side
    722,941x = 1,171,206,621,729
  5. Step 5: Solve for x
    x = 1,171,206,621,729/722,941
  6. Step 6: Final answer
    x = 1,620,058.38

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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.