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Finding the Third Proportional to 647,115.75 and 1,012,911.75

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Solution

The third proportional to 647,115.75 and 1,012,911.75 is: 1,585,481.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,115.75 : 1,012,911.75 = 1,012,911.75 : x
  2. Step 2: Convert to fraction form
    647,115.75/1,012,911.75 = 1,012,911.75/x
  3. Step 3: Cross multiply
    647,115.75x = 1,012,911.75 × 1,012,911.75
  4. Step 4: Simplify right side
    647,115.75x = 1,025,990,213,288.06
  5. Step 5: Solve for x
    x = 1,025,990,213,288.06/647,115.75
  6. Step 6: Final answer
    x = 1,585,481.75

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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.