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Finding the Third Proportional to 580,418.50 and 1,219,589

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Solution

The third proportional to 580,418.50 and 1,219,589 is: 2,562,629.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,418.50 : 1,219,589 = 1,219,589 : x
  2. Step 2: Convert to fraction form
    580,418.50/1,219,589 = 1,219,589/x
  3. Step 3: Cross multiply
    580,418.50x = 1,219,589 × 1,219,589
  4. Step 4: Simplify right side
    580,418.50x = 1,487,397,328,921
  5. Step 5: Solve for x
    x = 1,487,397,328,921/580,418.50
  6. Step 6: Final answer
    x = 2,562,629.08

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.