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Finding the Third Proportional to 622,351.69 and 961,162.03

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Solution

The third proportional to 622,351.69 and 961,162.03 is: 1,484,421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,351.69 : 961,162.03 = 961,162.03 : x
  2. Step 2: Convert to fraction form
    622,351.69/961,162.03 = 961,162.03/x
  3. Step 3: Cross multiply
    622,351.69x = 961,162.03 × 961,162.03
  4. Step 4: Simplify right side
    622,351.69x = 923,832,450,316.63
  5. Step 5: Solve for x
    x = 923,832,450,316.63/622,351.69
  6. Step 6: Final answer
    x = 1,484,421.86

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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.