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Finding the Third Proportional to 401,136.19 and 945,982.69

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Solution

The third proportional to 401,136.19 and 945,982.69 is: 2,230,871.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,136.19 : 945,982.69 = 945,982.69 : x
  2. Step 2: Convert to fraction form
    401,136.19/945,982.69 = 945,982.69/x
  3. Step 3: Cross multiply
    401,136.19x = 945,982.69 × 945,982.69
  4. Step 4: Simplify right side
    401,136.19x = 894,883,245,049.72
  5. Step 5: Solve for x
    x = 894,883,245,049.72/401,136.19
  6. Step 6: Final answer
    x = 2,230,871.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.