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Finding the Third Proportional to 3,519,019.69 and 5,164,361.30

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Solution

The third proportional to 3,519,019.69 and 5,164,361.30 is: 7,578,993.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519,019.69 : 5,164,361.30 = 5,164,361.30 : x
  2. Step 2: Convert to fraction form
    3,519,019.69/5,164,361.30 = 5,164,361.30/x
  3. Step 3: Cross multiply
    3,519,019.69x = 5,164,361.30 × 5,164,361.30
  4. Step 4: Simplify right side
    3,519,019.69x = 26,670,627,604,660.43
  5. Step 5: Solve for x
    x = 26,670,627,604,660.43/3,519,019.69
  6. Step 6: Final answer
    x = 7,578,993.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.