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Finding the Third Proportional to 1,397,310.75 and 2,846,007

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Solution

The third proportional to 1,397,310.75 and 2,846,007 is: 5,796,674.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,310.75 : 2,846,007 = 2,846,007 : x
  2. Step 2: Convert to fraction form
    1,397,310.75/2,846,007 = 2,846,007/x
  3. Step 3: Cross multiply
    1,397,310.75x = 2,846,007 × 2,846,007
  4. Step 4: Simplify right side
    1,397,310.75x = 8,099,755,844,049
  5. Step 5: Solve for x
    x = 8,099,755,844,049/1,397,310.75
  6. Step 6: Final answer
    x = 5,796,674.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.