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Finding the Third Proportional to 647,183.25 and 1,013,027.63

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Solution

The third proportional to 647,183.25 and 1,013,027.63 is: 1,585,679.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,183.25 : 1,013,027.63 = 1,013,027.63 : x
  2. Step 2: Convert to fraction form
    647,183.25/1,013,027.63 = 1,013,027.63/x
  3. Step 3: Cross multiply
    647,183.25x = 1,013,027.63 × 1,013,027.63
  4. Step 4: Simplify right side
    647,183.25x = 1,026,224,969,013.14
  5. Step 5: Solve for x
    x = 1,026,224,969,013.14/647,183.25
  6. Step 6: Final answer
    x = 1,585,679.12

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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.