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Finding the Third Proportional to 2,469,615 and 5,411,478

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Solution

The third proportional to 2,469,615 and 5,411,478 is: 11,857,756.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469,615 : 5,411,478 = 5,411,478 : x
  2. Step 2: Convert to fraction form
    2,469,615/5,411,478 = 5,411,478/x
  3. Step 3: Cross multiply
    2,469,615x = 5,411,478 × 5,411,478
  4. Step 4: Simplify right side
    2,469,615x = 29,284,094,144,484
  5. Step 5: Solve for x
    x = 29,284,094,144,484/2,469,615
  6. Step 6: Final answer
    x = 11,857,756.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.