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Finding the Third Proportional to 1,728,489 and 2,616,615

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Solution

The third proportional to 1,728,489 and 2,616,615 is: 3,961,074.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728,489 : 2,616,615 = 2,616,615 : x
  2. Step 2: Convert to fraction form
    1,728,489/2,616,615 = 2,616,615/x
  3. Step 3: Cross multiply
    1,728,489x = 2,616,615 × 2,616,615
  4. Step 4: Simplify right side
    1,728,489x = 6,846,674,058,225
  5. Step 5: Solve for x
    x = 6,846,674,058,225/1,728,489
  6. Step 6: Final answer
    x = 3,961,074.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.