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Finding the Third Proportional to 2,011,695 and 4,311,025

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Solution

The third proportional to 2,011,695 and 4,311,025 is: 9,238,446.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011,695 : 4,311,025 = 4,311,025 : x
  2. Step 2: Convert to fraction form
    2,011,695/4,311,025 = 4,311,025/x
  3. Step 3: Cross multiply
    2,011,695x = 4,311,025 × 4,311,025
  4. Step 4: Simplify right side
    2,011,695x = 18,584,936,550,625
  5. Step 5: Solve for x
    x = 18,584,936,550,625/2,011,695
  6. Step 6: Final answer
    x = 9,238,446.46

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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.