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Finding the Third Proportional to 642,849.75 and 961,119.75

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Solution

The third proportional to 642,849.75 and 961,119.75 is: 1,436,962.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,849.75 : 961,119.75 = 961,119.75 : x
  2. Step 2: Convert to fraction form
    642,849.75/961,119.75 = 961,119.75/x
  3. Step 3: Cross multiply
    642,849.75x = 961,119.75 × 961,119.75
  4. Step 4: Simplify right side
    642,849.75x = 923,751,173,840.06
  5. Step 5: Solve for x
    x = 923,751,173,840.06/642,849.75
  6. Step 6: Final answer
    x = 1,436,962.80

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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.