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Finding the Third Proportional to 2,212,743 and 4,827,615

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Solution

The third proportional to 2,212,743 and 4,827,615 is: 10,532,568.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212,743 : 4,827,615 = 4,827,615 : x
  2. Step 2: Convert to fraction form
    2,212,743/4,827,615 = 4,827,615/x
  3. Step 3: Cross multiply
    2,212,743x = 4,827,615 × 4,827,615
  4. Step 4: Simplify right side
    2,212,743x = 23,305,866,588,225
  5. Step 5: Solve for x
    x = 23,305,866,588,225/2,212,743
  6. Step 6: Final answer
    x = 10,532,568.21

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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.