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Finding the Third Proportional to 961,223.50 and 2,269,057

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Solution

The third proportional to 961,223.50 and 2,269,057 is: 5,356,318.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,223.50 : 2,269,057 = 2,269,057 : x
  2. Step 2: Convert to fraction form
    961,223.50/2,269,057 = 2,269,057/x
  3. Step 3: Cross multiply
    961,223.50x = 2,269,057 × 2,269,057
  4. Step 4: Simplify right side
    961,223.50x = 5,148,619,669,249
  5. Step 5: Solve for x
    x = 5,148,619,669,249/961,223.50
  6. Step 6: Final answer
    x = 5,356,318.97

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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.