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Finding the Third Proportional to 3,643,744 and 5,190,584

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Solution

The third proportional to 3,643,744 and 5,190,584 is: 7,394,087.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643,744 : 5,190,584 = 5,190,584 : x
  2. Step 2: Convert to fraction form
    3,643,744/5,190,584 = 5,190,584/x
  3. Step 3: Cross multiply
    3,643,744x = 5,190,584 × 5,190,584
  4. Step 4: Simplify right side
    3,643,744x = 26,942,162,261,056
  5. Step 5: Solve for x
    x = 26,942,162,261,056/3,643,744
  6. Step 6: Final answer
    x = 7,394,087.58

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.