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Finding the Third Proportional to 3,781,429.50 and 5,717,163

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Solution

The third proportional to 3,781,429.50 and 5,717,163 is: 8,643,808.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781,429.50 : 5,717,163 = 5,717,163 : x
  2. Step 2: Convert to fraction form
    3,781,429.50/5,717,163 = 5,717,163/x
  3. Step 3: Cross multiply
    3,781,429.50x = 5,717,163 × 5,717,163
  4. Step 4: Simplify right side
    3,781,429.50x = 32,685,952,768,569
  5. Step 5: Solve for x
    x = 32,685,952,768,569/3,781,429.50
  6. Step 6: Final answer
    x = 8,643,808.58

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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.