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Finding the Third Proportional to 853,222 and 1,285,234

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Solution

The third proportional to 853,222 and 1,285,234 is: 1,935,986.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,222 : 1,285,234 = 1,285,234 : x
  2. Step 2: Convert to fraction form
    853,222/1,285,234 = 1,285,234/x
  3. Step 3: Cross multiply
    853,222x = 1,285,234 × 1,285,234
  4. Step 4: Simplify right side
    853,222x = 1,651,826,434,756
  5. Step 5: Solve for x
    x = 1,651,826,434,756/853,222
  6. Step 6: Final answer
    x = 1,935,986.69

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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.