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Finding the Third Proportional to 2,764,868 and 3,953,766

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Solution

The third proportional to 2,764,868 and 3,953,766 is: 5,653,892.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764,868 : 3,953,766 = 3,953,766 : x
  2. Step 2: Convert to fraction form
    2,764,868/3,953,766 = 3,953,766/x
  3. Step 3: Cross multiply
    2,764,868x = 3,953,766 × 3,953,766
  4. Step 4: Simplify right side
    2,764,868x = 15,632,265,582,756
  5. Step 5: Solve for x
    x = 15,632,265,582,756/2,764,868
  6. Step 6: Final answer
    x = 5,653,892.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.