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Finding the Third Proportional to 565,840.69 and 1,233,361.69

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Solution

The third proportional to 565,840.69 and 1,233,361.69 is: 2,688,355.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,840.69 : 1,233,361.69 = 1,233,361.69 : x
  2. Step 2: Convert to fraction form
    565,840.69/1,233,361.69 = 1,233,361.69/x
  3. Step 3: Cross multiply
    565,840.69x = 1,233,361.69 × 1,233,361.69
  4. Step 4: Simplify right side
    565,840.69x = 1,521,181,052,192.85
  5. Step 5: Solve for x
    x = 1,521,181,052,192.85/565,840.69
  6. Step 6: Final answer
    x = 2,688,355.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.