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Finding the Third Proportional to 393,744 and 856,416

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Solution

The third proportional to 393,744 and 856,416 is: 1,862,754.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,744 : 856,416 = 856,416 : x
  2. Step 2: Convert to fraction form
    393,744/856,416 = 856,416/x
  3. Step 3: Cross multiply
    393,744x = 856,416 × 856,416
  4. Step 4: Simplify right side
    393,744x = 733,448,365,056
  5. Step 5: Solve for x
    x = 733,448,365,056/393,744
  6. Step 6: Final answer
    x = 1,862,754.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.