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Finding the Third Proportional to 1,195,810 and 2,601,571

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Solution

The third proportional to 1,195,810 and 2,601,571 is: 5,659,905.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195,810 : 2,601,571 = 2,601,571 : x
  2. Step 2: Convert to fraction form
    1,195,810/2,601,571 = 2,601,571/x
  3. Step 3: Cross multiply
    1,195,810x = 2,601,571 × 2,601,571
  4. Step 4: Simplify right side
    1,195,810x = 6,768,171,668,041
  5. Step 5: Solve for x
    x = 6,768,171,668,041/1,195,810
  6. Step 6: Final answer
    x = 5,659,905.56

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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.