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Finding the Third Proportional to 853,218 and 1,285,227

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Solution

The third proportional to 853,218 and 1,285,227 is: 1,935,974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,218 : 1,285,227 = 1,285,227 : x
  2. Step 2: Convert to fraction form
    853,218/1,285,227 = 1,285,227/x
  3. Step 3: Cross multiply
    853,218x = 1,285,227 × 1,285,227
  4. Step 4: Simplify right side
    853,218x = 1,651,808,441,529
  5. Step 5: Solve for x
    x = 1,651,808,441,529/853,218
  6. Step 6: Final answer
    x = 1,935,974.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.