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Finding the Third Proportional to 1,960,462 and 4,246,615

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Solution

The third proportional to 1,960,462 and 4,246,615 is: 9,198,718.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960,462 : 4,246,615 = 4,246,615 : x
  2. Step 2: Convert to fraction form
    1,960,462/4,246,615 = 4,246,615/x
  3. Step 3: Cross multiply
    1,960,462x = 4,246,615 × 4,246,615
  4. Step 4: Simplify right side
    1,960,462x = 18,033,738,958,225
  5. Step 5: Solve for x
    x = 18,033,738,958,225/1,960,462
  6. Step 6: Final answer
    x = 9,198,718.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.