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Finding the Third Proportional to 816,351 and 1,227,640.50

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Solution

The third proportional to 816,351 and 1,227,640.50 is: 1,846,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,351 : 1,227,640.50 = 1,227,640.50 : x
  2. Step 2: Convert to fraction form
    816,351/1,227,640.50 = 1,227,640.50/x
  3. Step 3: Cross multiply
    816,351x = 1,227,640.50 × 1,227,640.50
  4. Step 4: Simplify right side
    816,351x = 1,507,101,197,240.25
  5. Step 5: Solve for x
    x = 1,507,101,197,240.25/816,351
  6. Step 6: Final answer
    x = 1,846,143.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.