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Finding the Third Proportional to 393,927 and 859,128

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Solution

The third proportional to 393,927 and 859,128 is: 1,873,699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,927 : 859,128 = 859,128 : x
  2. Step 2: Convert to fraction form
    393,927/859,128 = 859,128/x
  3. Step 3: Cross multiply
    393,927x = 859,128 × 859,128
  4. Step 4: Simplify right side
    393,927x = 738,100,920,384
  5. Step 5: Solve for x
    x = 738,100,920,384/393,927
  6. Step 6: Final answer
    x = 1,873,699.75

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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.