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Finding the Third Proportional to 2,181,082.50 and 3,622,464

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Solution

The third proportional to 2,181,082.50 and 3,622,464 is: 6,016,391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181,082.50 : 3,622,464 = 3,622,464 : x
  2. Step 2: Convert to fraction form
    2,181,082.50/3,622,464 = 3,622,464/x
  3. Step 3: Cross multiply
    2,181,082.50x = 3,622,464 × 3,622,464
  4. Step 4: Simplify right side
    2,181,082.50x = 13,122,245,431,296
  5. Step 5: Solve for x
    x = 13,122,245,431,296/2,181,082.50
  6. Step 6: Final answer
    x = 6,016,391.14

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.