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Finding the Third Proportional to 802,184.50 and 1,203,449

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Solution

The third proportional to 802,184.50 and 1,203,449 is: 1,805,431.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,184.50 : 1,203,449 = 1,203,449 : x
  2. Step 2: Convert to fraction form
    802,184.50/1,203,449 = 1,203,449/x
  3. Step 3: Cross multiply
    802,184.50x = 1,203,449 × 1,203,449
  4. Step 4: Simplify right side
    802,184.50x = 1,448,289,495,601
  5. Step 5: Solve for x
    x = 1,448,289,495,601/802,184.50
  6. Step 6: Final answer
    x = 1,805,431.91

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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.