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Finding the Third Proportional to 2,589,145 and 3,883,720

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Solution

The third proportional to 2,589,145 and 3,883,720 is: 5,825,583.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589,145 : 3,883,720 = 3,883,720 : x
  2. Step 2: Convert to fraction form
    2,589,145/3,883,720 = 3,883,720/x
  3. Step 3: Cross multiply
    2,589,145x = 3,883,720 × 3,883,720
  4. Step 4: Simplify right side
    2,589,145x = 15,083,281,038,400
  5. Step 5: Solve for x
    x = 15,083,281,038,400/2,589,145
  6. Step 6: Final answer
    x = 5,825,583.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.