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Finding the Third Proportional to 640,468.13 and 1,375,908.75

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Solution

The third proportional to 640,468.13 and 1,375,908.75 is: 2,955,845.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,468.13 : 1,375,908.75 = 1,375,908.75 : x
  2. Step 2: Convert to fraction form
    640,468.13/1,375,908.75 = 1,375,908.75/x
  3. Step 3: Cross multiply
    640,468.13x = 1,375,908.75 × 1,375,908.75
  4. Step 4: Simplify right side
    640,468.13x = 1,893,124,888,326.56
  5. Step 5: Solve for x
    x = 1,893,124,888,326.56/640,468.13
  6. Step 6: Final answer
    x = 2,955,845.60

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