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Finding the Third Proportional to 816,601.50 and 1,269,189

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Solution

The third proportional to 816,601.50 and 1,269,189 is: 1,972,615.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,601.50 : 1,269,189 = 1,269,189 : x
  2. Step 2: Convert to fraction form
    816,601.50/1,269,189 = 1,269,189/x
  3. Step 3: Cross multiply
    816,601.50x = 1,269,189 × 1,269,189
  4. Step 4: Simplify right side
    816,601.50x = 1,610,840,717,721
  5. Step 5: Solve for x
    x = 1,610,840,717,721/816,601.50
  6. Step 6: Final answer
    x = 1,972,615.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.