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Finding the Third Proportional to 649,577 and 1,417,198

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Solution

The third proportional to 649,577 and 1,417,198 is: 3,091,935.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,577 : 1,417,198 = 1,417,198 : x
  2. Step 2: Convert to fraction form
    649,577/1,417,198 = 1,417,198/x
  3. Step 3: Cross multiply
    649,577x = 1,417,198 × 1,417,198
  4. Step 4: Simplify right side
    649,577x = 2,008,450,171,204
  5. Step 5: Solve for x
    x = 2,008,450,171,204/649,577
  6. Step 6: Final answer
    x = 3,091,935.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.