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Finding the Third Proportional to 395,470 and 853,148

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Solution

The third proportional to 395,470 and 853,148 is: 1,840,497.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,470 : 853,148 = 853,148 : x
  2. Step 2: Convert to fraction form
    395,470/853,148 = 853,148/x
  3. Step 3: Cross multiply
    395,470x = 853,148 × 853,148
  4. Step 4: Simplify right side
    395,470x = 727,861,509,904
  5. Step 5: Solve for x
    x = 727,861,509,904/395,470
  6. Step 6: Final answer
    x = 1,840,497.41

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Why These Related Problems?

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