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Finding the Third Proportional to 1,198,020 and 2,605,980

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Solution

The third proportional to 1,198,020 and 2,605,980 is: 5,668,629.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,020 : 2,605,980 = 2,605,980 : x
  2. Step 2: Convert to fraction form
    1,198,020/2,605,980 = 2,605,980/x
  3. Step 3: Cross multiply
    1,198,020x = 2,605,980 × 2,605,980
  4. Step 4: Simplify right side
    1,198,020x = 6,791,131,760,400
  5. Step 5: Solve for x
    x = 6,791,131,760,400/1,198,020
  6. Step 6: Final answer
    x = 5,668,629.71

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