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Finding the Third Proportional to 375,961 and 811,847

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Solution

The third proportional to 375,961 and 811,847 is: 1,753,095.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,961 : 811,847 = 811,847 : x
  2. Step 2: Convert to fraction form
    375,961/811,847 = 811,847/x
  3. Step 3: Cross multiply
    375,961x = 811,847 × 811,847
  4. Step 4: Simplify right side
    375,961x = 659,095,551,409
  5. Step 5: Solve for x
    x = 659,095,551,409/375,961
  6. Step 6: Final answer
    x = 1,753,095.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.