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Finding the Third Proportional to 1,187,844 and 2,600,175

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Solution

The third proportional to 1,187,844 and 2,600,175 is: 5,691,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187,844 : 2,600,175 = 2,600,175 : x
  2. Step 2: Convert to fraction form
    1,187,844/2,600,175 = 2,600,175/x
  3. Step 3: Cross multiply
    1,187,844x = 2,600,175 × 2,600,175
  4. Step 4: Simplify right side
    1,187,844x = 6,760,910,030,625
  5. Step 5: Solve for x
    x = 6,760,910,030,625/1,187,844
  6. Step 6: Final answer
    x = 5,691,749.11

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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.