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Finding the Third Proportional to 395,816 and 864,214

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Solution

The third proportional to 395,816 and 864,214 is: 1,886,901.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,816 : 864,214 = 864,214 : x
  2. Step 2: Convert to fraction form
    395,816/864,214 = 864,214/x
  3. Step 3: Cross multiply
    395,816x = 864,214 × 864,214
  4. Step 4: Simplify right side
    395,816x = 746,865,837,796
  5. Step 5: Solve for x
    x = 746,865,837,796/395,816
  6. Step 6: Final answer
    x = 1,886,901.59

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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.