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Finding the Third Proportional to 827,500.50 and 1,785,630.94

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Solution

The third proportional to 827,500.50 and 1,785,630.94 is: 3,853,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,500.50 : 1,785,630.94 = 1,785,630.94 : x
  2. Step 2: Convert to fraction form
    827,500.50/1,785,630.94 = 1,785,630.94/x
  3. Step 3: Cross multiply
    827,500.50x = 1,785,630.94 × 1,785,630.94
  4. Step 4: Simplify right side
    827,500.50x = 3,188,477,844,957.13
  5. Step 5: Solve for x
    x = 3,188,477,844,957.13/827,500.50
  6. Step 6: Final answer
    x = 3,853,143.10

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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.