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Finding the Third Proportional to 1,304,586 and 2,802,093.75

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Solution

The third proportional to 1,304,586 and 2,802,093.75 is: 6,018,560.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304,586 : 2,802,093.75 = 2,802,093.75 : x
  2. Step 2: Convert to fraction form
    1,304,586/2,802,093.75 = 2,802,093.75/x
  3. Step 3: Cross multiply
    1,304,586x = 2,802,093.75 × 2,802,093.75
  4. Step 4: Simplify right side
    1,304,586x = 7,851,729,383,789.06
  5. Step 5: Solve for x
    x = 7,851,729,383,789.06/1,304,586
  6. Step 6: Final answer
    x = 6,018,560.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.