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Finding the Third Proportional to 622,314 and 961,108

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Solution

The third proportional to 622,314 and 961,108 is: 1,484,344.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,314 : 961,108 = 961,108 : x
  2. Step 2: Convert to fraction form
    622,314/961,108 = 961,108/x
  3. Step 3: Cross multiply
    622,314x = 961,108 × 961,108
  4. Step 4: Simplify right side
    622,314x = 923,728,587,664
  5. Step 5: Solve for x
    x = 923,728,587,664/622,314
  6. Step 6: Final answer
    x = 1,484,344.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.