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Finding the Third Proportional to 622,311.49 and 961,108.01

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Solution

The third proportional to 622,311.49 and 961,108.01 is: 1,484,350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,311.49 : 961,108.01 = 961,108.01 : x
  2. Step 2: Convert to fraction form
    622,311.49/961,108.01 = 961,108.01/x
  3. Step 3: Cross multiply
    622,311.49x = 961,108.01 × 961,108.01
  4. Step 4: Simplify right side
    622,311.49x = 923,728,609,720.66
  5. Step 5: Solve for x
    x = 923,728,609,720.66/622,311.49
  6. Step 6: Final answer
    x = 1,484,350.88

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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.