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Finding the Third Proportional to 483,165 and 1,091,601

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Solution

The third proportional to 483,165 and 1,091,601 is: 2,466,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,165 : 1,091,601 = 1,091,601 : x
  2. Step 2: Convert to fraction form
    483,165/1,091,601 = 1,091,601/x
  3. Step 3: Cross multiply
    483,165x = 1,091,601 × 1,091,601
  4. Step 4: Simplify right side
    483,165x = 1,191,592,743,201
  5. Step 5: Solve for x
    x = 1,191,592,743,201/483,165
  6. Step 6: Final answer
    x = 2,466,223.22

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.