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Finding the Third Proportional to 2,614,041 and 5,731,146

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Solution

The third proportional to 2,614,041 and 5,731,146 is: 12,565,233.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614,041 : 5,731,146 = 5,731,146 : x
  2. Step 2: Convert to fraction form
    2,614,041/5,731,146 = 5,731,146/x
  3. Step 3: Cross multiply
    2,614,041x = 5,731,146 × 5,731,146
  4. Step 4: Simplify right side
    2,614,041x = 32,846,034,473,316
  5. Step 5: Solve for x
    x = 32,846,034,473,316/2,614,041
  6. Step 6: Final answer
    x = 12,565,233.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.