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Finding the Third Proportional to 828,204.75 and 1,751,900.91

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Solution

The third proportional to 828,204.75 and 1,751,900.91 is: 3,705,794.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,204.75 : 1,751,900.91 = 1,751,900.91 : x
  2. Step 2: Convert to fraction form
    828,204.75/1,751,900.91 = 1,751,900.91/x
  3. Step 3: Cross multiply
    828,204.75x = 1,751,900.91 × 1,751,900.91
  4. Step 4: Simplify right side
    828,204.75x = 3,069,156,785,319.57
  5. Step 5: Solve for x
    x = 3,069,156,785,319.57/828,204.75
  6. Step 6: Final answer
    x = 3,705,794.71

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.