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Finding the Third Proportional to 580,869 and 1,265,081.63

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Solution

The third proportional to 580,869 and 1,265,081.63 is: 2,755,236.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,869 : 1,265,081.63 = 1,265,081.63 : x
  2. Step 2: Convert to fraction form
    580,869/1,265,081.63 = 1,265,081.63/x
  3. Step 3: Cross multiply
    580,869x = 1,265,081.63 × 1,265,081.63
  4. Step 4: Simplify right side
    580,869x = 1,600,431,517,912.64
  5. Step 5: Solve for x
    x = 1,600,431,517,912.64/580,869
  6. Step 6: Final answer
    x = 2,755,236.58

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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.