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Finding the Third Proportional to 580,944 and 1,215,096

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Solution

The third proportional to 580,944 and 1,215,096 is: 2,541,481.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,944 : 1,215,096 = 1,215,096 : x
  2. Step 2: Convert to fraction form
    580,944/1,215,096 = 1,215,096/x
  3. Step 3: Cross multiply
    580,944x = 1,215,096 × 1,215,096
  4. Step 4: Simplify right side
    580,944x = 1,476,458,289,216
  5. Step 5: Solve for x
    x = 1,476,458,289,216/580,944
  6. Step 6: Final answer
    x = 2,541,481.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.