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Finding the Third Proportional to 395,097 and 854,022

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Solution

The third proportional to 395,097 and 854,022 is: 1,846,011.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,097 : 854,022 = 854,022 : x
  2. Step 2: Convert to fraction form
    395,097/854,022 = 854,022/x
  3. Step 3: Cross multiply
    395,097x = 854,022 × 854,022
  4. Step 4: Simplify right side
    395,097x = 729,353,576,484
  5. Step 5: Solve for x
    x = 729,353,576,484/395,097
  6. Step 6: Final answer
    x = 1,846,011.43

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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.