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Finding the Third Proportional to 2,181,119 and 4,659,134

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Solution

The third proportional to 2,181,119 and 4,659,134 is: 9,952,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181,119 : 4,659,134 = 4,659,134 : x
  2. Step 2: Convert to fraction form
    2,181,119/4,659,134 = 4,659,134/x
  3. Step 3: Cross multiply
    2,181,119x = 4,659,134 × 4,659,134
  4. Step 4: Simplify right side
    2,181,119x = 21,707,529,629,956
  5. Step 5: Solve for x
    x = 21,707,529,629,956/2,181,119
  6. Step 6: Final answer
    x = 9,952,473.77

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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.