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Finding the Third Proportional to 1,216,638 and 2,647,330

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Solution

The third proportional to 1,216,638 and 2,647,330 is: 5,760,428.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216,638 : 2,647,330 = 2,647,330 : x
  2. Step 2: Convert to fraction form
    1,216,638/2,647,330 = 2,647,330/x
  3. Step 3: Cross multiply
    1,216,638x = 2,647,330 × 2,647,330
  4. Step 4: Simplify right side
    1,216,638x = 7,008,356,128,900
  5. Step 5: Solve for x
    x = 7,008,356,128,900/1,216,638
  6. Step 6: Final answer
    x = 5,760,428.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.