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Finding the Third Proportional to 1,286,266 and 2,743,398

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Solution

The third proportional to 1,286,266 and 2,743,398 is: 5,851,225.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,266 : 2,743,398 = 2,743,398 : x
  2. Step 2: Convert to fraction form
    1,286,266/2,743,398 = 2,743,398/x
  3. Step 3: Cross multiply
    1,286,266x = 2,743,398 × 2,743,398
  4. Step 4: Simplify right side
    1,286,266x = 7,526,232,586,404
  5. Step 5: Solve for x
    x = 7,526,232,586,404/1,286,266
  6. Step 6: Final answer
    x = 5,851,225.63

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.