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Finding the Third Proportional to 605,891 and 1,274,458

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Solution

The third proportional to 605,891 and 1,274,458 is: 2,680,751.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,891 : 1,274,458 = 1,274,458 : x
  2. Step 2: Convert to fraction form
    605,891/1,274,458 = 1,274,458/x
  3. Step 3: Cross multiply
    605,891x = 1,274,458 × 1,274,458
  4. Step 4: Simplify right side
    605,891x = 1,624,243,193,764
  5. Step 5: Solve for x
    x = 1,624,243,193,764/605,891
  6. Step 6: Final answer
    x = 2,680,751.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.