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Finding the Third Proportional to 647,183.75 and 1,013,028.38

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Solution

The third proportional to 647,183.75 and 1,013,028.38 is: 1,585,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,183.75 : 1,013,028.38 = 1,013,028.38 : x
  2. Step 2: Convert to fraction form
    647,183.75/1,013,028.38 = 1,013,028.38/x
  3. Step 3: Cross multiply
    647,183.75x = 1,013,028.38 × 1,013,028.38
  4. Step 4: Simplify right side
    647,183.75x = 1,026,226,488,555.14
  5. Step 5: Solve for x
    x = 1,026,226,488,555.14/647,183.75
  6. Step 6: Final answer
    x = 1,585,680.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.