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Finding the Third Proportional to 960,081 and 1,546,529

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Solution

The third proportional to 960,081 and 1,546,529 is: 2,491,198.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,081 : 1,546,529 = 1,546,529 : x
  2. Step 2: Convert to fraction form
    960,081/1,546,529 = 1,546,529/x
  3. Step 3: Cross multiply
    960,081x = 1,546,529 × 1,546,529
  4. Step 4: Simplify right side
    960,081x = 2,391,751,947,841
  5. Step 5: Solve for x
    x = 2,391,751,947,841/960,081
  6. Step 6: Final answer
    x = 2,491,198.08

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.