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Finding the Third Proportional to 3,998,040.19 and 6,141,428.02

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Solution

The third proportional to 3,998,040.19 and 6,141,428.02 is: 9,433,906.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998,040.19 : 6,141,428.02 = 6,141,428.02 : x
  2. Step 2: Convert to fraction form
    3,998,040.19/6,141,428.02 = 6,141,428.02/x
  3. Step 3: Cross multiply
    3,998,040.19x = 6,141,428.02 × 6,141,428.02
  4. Step 4: Simplify right side
    3,998,040.19x = 37,717,138,071,103.62
  5. Step 5: Solve for x
    x = 37,717,138,071,103.62/3,998,040.19
  6. Step 6: Final answer
    x = 9,433,906.69

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.