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Finding the Third Proportional to 681,975 and 1,136,577.75

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Solution

The third proportional to 681,975 and 1,136,577.75 is: 1,894,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,975 : 1,136,577.75 = 1,136,577.75 : x
  2. Step 2: Convert to fraction form
    681,975/1,136,577.75 = 1,136,577.75/x
  3. Step 3: Cross multiply
    681,975x = 1,136,577.75 × 1,136,577.75
  4. Step 4: Simplify right side
    681,975x = 1,291,808,981,795.06
  5. Step 5: Solve for x
    x = 1,291,808,981,795.06/681,975
  6. Step 6: Final answer
    x = 1,894,217.50

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.