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Finding the Third Proportional to 1,131,240.94 and 1,582,383.09

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Solution

The third proportional to 1,131,240.94 and 1,582,383.09 is: 2,213,442.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131,240.94 : 1,582,383.09 = 1,582,383.09 : x
  2. Step 2: Convert to fraction form
    1,131,240.94/1,582,383.09 = 1,582,383.09/x
  3. Step 3: Cross multiply
    1,131,240.94x = 1,582,383.09 × 1,582,383.09
  4. Step 4: Simplify right side
    1,131,240.94x = 2,503,936,255,385.82
  5. Step 5: Solve for x
    x = 2,503,936,255,385.82/1,131,240.94
  6. Step 6: Final answer
    x = 2,213,442.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.