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Finding the Third Proportional to 395,314 and 866,809

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Solution

The third proportional to 395,314 and 866,809 is: 1,900,660.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,314 : 866,809 = 866,809 : x
  2. Step 2: Convert to fraction form
    395,314/866,809 = 866,809/x
  3. Step 3: Cross multiply
    395,314x = 866,809 × 866,809
  4. Step 4: Simplify right side
    395,314x = 751,357,842,481
  5. Step 5: Solve for x
    x = 751,357,842,481/395,314
  6. Step 6: Final answer
    x = 1,900,660.85

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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.