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Finding the Third Proportional to 2,019,169.69 and 4,322,158.31

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Solution

The third proportional to 2,019,169.69 and 4,322,158.31 is: 9,251,848.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019,169.69 : 4,322,158.31 = 4,322,158.31 : x
  2. Step 2: Convert to fraction form
    2,019,169.69/4,322,158.31 = 4,322,158.31/x
  3. Step 3: Cross multiply
    2,019,169.69x = 4,322,158.31 × 4,322,158.31
  4. Step 4: Simplify right side
    2,019,169.69x = 18,681,052,478,312.85
  5. Step 5: Solve for x
    x = 18,681,052,478,312.85/2,019,169.69
  6. Step 6: Final answer
    x = 9,251,848.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.