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Finding the Third Proportional to 802,997.25 and 1,738,306.25

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Solution

The third proportional to 802,997.25 and 1,738,306.25 is: 3,763,037.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,997.25 : 1,738,306.25 = 1,738,306.25 : x
  2. Step 2: Convert to fraction form
    802,997.25/1,738,306.25 = 1,738,306.25/x
  3. Step 3: Cross multiply
    802,997.25x = 1,738,306.25 × 1,738,306.25
  4. Step 4: Simplify right side
    802,997.25x = 3,021,708,618,789.06
  5. Step 5: Solve for x
    x = 3,021,708,618,789.06/802,997.25
  6. Step 6: Final answer
    x = 3,763,037.32

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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.