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Finding the Third Proportional to 395,047 and 853,150

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Solution

The third proportional to 395,047 and 853,150 is: 1,842,476.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,047 : 853,150 = 853,150 : x
  2. Step 2: Convert to fraction form
    395,047/853,150 = 853,150/x
  3. Step 3: Cross multiply
    395,047x = 853,150 × 853,150
  4. Step 4: Simplify right side
    395,047x = 727,864,922,500
  5. Step 5: Solve for x
    x = 727,864,922,500/395,047
  6. Step 6: Final answer
    x = 1,842,476.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.