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Finding the Third Proportional to 782,330.25 and 1,811,103

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Solution

The third proportional to 782,330.25 and 1,811,103 is: 4,192,723.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,330.25 : 1,811,103 = 1,811,103 : x
  2. Step 2: Convert to fraction form
    782,330.25/1,811,103 = 1,811,103/x
  3. Step 3: Cross multiply
    782,330.25x = 1,811,103 × 1,811,103
  4. Step 4: Simplify right side
    782,330.25x = 3,280,094,076,609
  5. Step 5: Solve for x
    x = 3,280,094,076,609/782,330.25
  6. Step 6: Final answer
    x = 4,192,723.06

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.