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Finding the Third Proportional to 2,080,589 and 3,264,650

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Solution

The third proportional to 2,080,589 and 3,264,650 is: 5,122,558.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080,589 : 3,264,650 = 3,264,650 : x
  2. Step 2: Convert to fraction form
    2,080,589/3,264,650 = 3,264,650/x
  3. Step 3: Cross multiply
    2,080,589x = 3,264,650 × 3,264,650
  4. Step 4: Simplify right side
    2,080,589x = 10,657,939,622,500
  5. Step 5: Solve for x
    x = 10,657,939,622,500/2,080,589
  6. Step 6: Final answer
    x = 5,122,558.86

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.