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Finding the Third Proportional to 395,102 and 854,030

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Solution

The third proportional to 395,102 and 854,030 is: 1,846,022.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,102 : 854,030 = 854,030 : x
  2. Step 2: Convert to fraction form
    395,102/854,030 = 854,030/x
  3. Step 3: Cross multiply
    395,102x = 854,030 × 854,030
  4. Step 4: Simplify right side
    395,102x = 729,367,240,900
  5. Step 5: Solve for x
    x = 729,367,240,900/395,102
  6. Step 6: Final answer
    x = 1,846,022.65

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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.