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Finding the Third Proportional to 622,313.63 and 961,110.75

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Solution

The third proportional to 622,313.63 and 961,110.75 is: 1,484,354.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,313.63 : 961,110.75 = 961,110.75 : x
  2. Step 2: Convert to fraction form
    622,313.63/961,110.75 = 961,110.75/x
  3. Step 3: Cross multiply
    622,313.63x = 961,110.75 × 961,110.75
  4. Step 4: Simplify right side
    622,313.63x = 923,733,873,765.56
  5. Step 5: Solve for x
    x = 923,733,873,765.56/622,313.63
  6. Step 6: Final answer
    x = 1,484,354.25

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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.