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Finding the Third Proportional to 1,459,163.25 and 2,331,024.75

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Solution

The third proportional to 1,459,163.25 and 2,331,024.75 is: 3,723,830.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459,163.25 : 2,331,024.75 = 2,331,024.75 : x
  2. Step 2: Convert to fraction form
    1,459,163.25/2,331,024.75 = 2,331,024.75/x
  3. Step 3: Cross multiply
    1,459,163.25x = 2,331,024.75 × 2,331,024.75
  4. Step 4: Simplify right side
    1,459,163.25x = 5,433,676,385,112.56
  5. Step 5: Solve for x
    x = 5,433,676,385,112.56/1,459,163.25
  6. Step 6: Final answer
    x = 3,723,830.34

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.