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Finding the Third Proportional to 690,025 and 1,485,027

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Solution

The third proportional to 690,025 and 1,485,027 is: 3,195,978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,025 : 1,485,027 = 1,485,027 : x
  2. Step 2: Convert to fraction form
    690,025/1,485,027 = 1,485,027/x
  3. Step 3: Cross multiply
    690,025x = 1,485,027 × 1,485,027
  4. Step 4: Simplify right side
    690,025x = 2,205,305,190,729
  5. Step 5: Solve for x
    x = 2,205,305,190,729/690,025
  6. Step 6: Final answer
    x = 3,195,978.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.