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Finding the Third Proportional to 2,022,165 and 2,844,309.94

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Solution

The third proportional to 2,022,165 and 2,844,309.94 is: 4,000,711.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022,165 : 2,844,309.94 = 2,844,309.94 : x
  2. Step 2: Convert to fraction form
    2,022,165/2,844,309.94 = 2,844,309.94/x
  3. Step 3: Cross multiply
    2,022,165x = 2,844,309.94 × 2,844,309.94
  4. Step 4: Simplify right side
    2,022,165x = 8,090,099,020,561.25
  5. Step 5: Solve for x
    x = 8,090,099,020,561.25/2,022,165
  6. Step 6: Final answer
    x = 4,000,711.62

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.