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Finding the Third Proportional to 640,395.75 and 1,375,764.25

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Solution

The third proportional to 640,395.75 and 1,375,764.25 is: 2,955,558.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,395.75 : 1,375,764.25 = 1,375,764.25 : x
  2. Step 2: Convert to fraction form
    640,395.75/1,375,764.25 = 1,375,764.25/x
  3. Step 3: Cross multiply
    640,395.75x = 1,375,764.25 × 1,375,764.25
  4. Step 4: Simplify right side
    640,395.75x = 1,892,727,271,578.06
  5. Step 5: Solve for x
    x = 1,892,727,271,578.06/640,395.75
  6. Step 6: Final answer
    x = 2,955,558.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.