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Finding the Third Proportional to 854,414 and 1,819,258

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Solution

The third proportional to 854,414 and 1,819,258 is: 3,873,648.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,414 : 1,819,258 = 1,819,258 : x
  2. Step 2: Convert to fraction form
    854,414/1,819,258 = 1,819,258/x
  3. Step 3: Cross multiply
    854,414x = 1,819,258 × 1,819,258
  4. Step 4: Simplify right side
    854,414x = 3,309,699,670,564
  5. Step 5: Solve for x
    x = 3,309,699,670,564/854,414
  6. Step 6: Final answer
    x = 3,873,648.69

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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.