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Finding the Third Proportional to 854,370 and 1,819,170

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Solution

The third proportional to 854,370 and 1,819,170 is: 3,873,473.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,370 : 1,819,170 = 1,819,170 : x
  2. Step 2: Convert to fraction form
    854,370/1,819,170 = 1,819,170/x
  3. Step 3: Cross multiply
    854,370x = 1,819,170 × 1,819,170
  4. Step 4: Simplify right side
    854,370x = 3,309,379,488,900
  5. Step 5: Solve for x
    x = 3,309,379,488,900/854,370
  6. Step 6: Final answer
    x = 3,873,473.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.