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Finding the Third Proportional to 1,527,585.25 and 3,317,906.75

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Solution

The third proportional to 1,527,585.25 and 3,317,906.75 is: 7,206,475.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527,585.25 : 3,317,906.75 = 3,317,906.75 : x
  2. Step 2: Convert to fraction form
    1,527,585.25/3,317,906.75 = 3,317,906.75/x
  3. Step 3: Cross multiply
    1,527,585.25x = 3,317,906.75 × 3,317,906.75
  4. Step 4: Simplify right side
    1,527,585.25x = 11,008,505,201,695.56
  5. Step 5: Solve for x
    x = 11,008,505,201,695.56/1,527,585.25
  6. Step 6: Final answer
    x = 7,206,475.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.