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Finding the Third Proportional to 851,781.75 and 1,876,397.25

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Solution

The third proportional to 851,781.75 and 1,876,397.25 is: 4,133,531.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,781.75 : 1,876,397.25 = 1,876,397.25 : x
  2. Step 2: Convert to fraction form
    851,781.75/1,876,397.25 = 1,876,397.25/x
  3. Step 3: Cross multiply
    851,781.75x = 1,876,397.25 × 1,876,397.25
  4. Step 4: Simplify right side
    851,781.75x = 3,520,866,639,807.56
  5. Step 5: Solve for x
    x = 3,520,866,639,807.56/851,781.75
  6. Step 6: Final answer
    x = 4,133,531.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.