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Finding the Third Proportional to 395,424 and 866,112

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Solution

The third proportional to 395,424 and 866,112 is: 1,897,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,424 : 866,112 = 866,112 : x
  2. Step 2: Convert to fraction form
    395,424/866,112 = 866,112/x
  3. Step 3: Cross multiply
    395,424x = 866,112 × 866,112
  4. Step 4: Simplify right side
    395,424x = 750,149,996,544
  5. Step 5: Solve for x
    x = 750,149,996,544/395,424
  6. Step 6: Final answer
    x = 1,897,077.56

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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.