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Finding the Third Proportional to 3,785,394.75 and 5,723,253

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Solution

The third proportional to 3,785,394.75 and 5,723,253 is: 8,653,159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785,394.75 : 5,723,253 = 5,723,253 : x
  2. Step 2: Convert to fraction form
    3,785,394.75/5,723,253 = 5,723,253/x
  3. Step 3: Cross multiply
    3,785,394.75x = 5,723,253 × 5,723,253
  4. Step 4: Simplify right side
    3,785,394.75x = 32,755,624,902,009
  5. Step 5: Solve for x
    x = 32,755,624,902,009/3,785,394.75
  6. Step 6: Final answer
    x = 8,653,159.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.