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Finding the Third Proportional to 393,570 and 861,012

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Solution

The third proportional to 393,570 and 861,012 is: 1,883,633.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,570 : 861,012 = 861,012 : x
  2. Step 2: Convert to fraction form
    393,570/861,012 = 861,012/x
  3. Step 3: Cross multiply
    393,570x = 861,012 × 861,012
  4. Step 4: Simplify right side
    393,570x = 741,341,664,144
  5. Step 5: Solve for x
    x = 741,341,664,144/393,570
  6. Step 6: Final answer
    x = 1,883,633.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.