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Finding the Third Proportional to 642,021.19 and 961,027.03

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Solution

The third proportional to 642,021.19 and 961,027.03 is: 1,438,539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,021.19 : 961,027.03 = 961,027.03 : x
  2. Step 2: Convert to fraction form
    642,021.19/961,027.03 = 961,027.03/x
  3. Step 3: Cross multiply
    642,021.19x = 961,027.03 × 961,027.03
  4. Step 4: Simplify right side
    642,021.19x = 923,572,954,793.19
  5. Step 5: Solve for x
    x = 923,572,954,793.19/642,021.19
  6. Step 6: Final answer
    x = 1,438,539.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.