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Finding the Third Proportional to 395,514 and 819,066

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Solution

The third proportional to 395,514 and 819,066 is: 1,696,195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,514 : 819,066 = 819,066 : x
  2. Step 2: Convert to fraction form
    395,514/819,066 = 819,066/x
  3. Step 3: Cross multiply
    395,514x = 819,066 × 819,066
  4. Step 4: Simplify right side
    395,514x = 670,869,112,356
  5. Step 5: Solve for x
    x = 670,869,112,356/395,514
  6. Step 6: Final answer
    x = 1,696,195.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.