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Finding the Third Proportional to 393,924 and 859,122

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Solution

The third proportional to 393,924 and 859,122 is: 1,873,687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,924 : 859,122 = 859,122 : x
  2. Step 2: Convert to fraction form
    393,924/859,122 = 859,122/x
  3. Step 3: Cross multiply
    393,924x = 859,122 × 859,122
  4. Step 4: Simplify right side
    393,924x = 738,090,610,884
  5. Step 5: Solve for x
    x = 738,090,610,884/393,924
  6. Step 6: Final answer
    x = 1,873,687.85

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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.