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Finding the Third Proportional to 1,816,213.50 and 3,820,623

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Solution

The third proportional to 1,816,213.50 and 3,820,623 is: 8,037,138.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816,213.50 : 3,820,623 = 3,820,623 : x
  2. Step 2: Convert to fraction form
    1,816,213.50/3,820,623 = 3,820,623/x
  3. Step 3: Cross multiply
    1,816,213.50x = 3,820,623 × 3,820,623
  4. Step 4: Simplify right side
    1,816,213.50x = 14,597,160,108,129
  5. Step 5: Solve for x
    x = 14,597,160,108,129/1,816,213.50
  6. Step 6: Final answer
    x = 8,037,138.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.