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Finding the Third Proportional to 802,189 and 1,203,455

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Solution

The third proportional to 802,189 and 1,203,455 is: 1,805,439.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,189 : 1,203,455 = 1,203,455 : x
  2. Step 2: Convert to fraction form
    802,189/1,203,455 = 1,203,455/x
  3. Step 3: Cross multiply
    802,189x = 1,203,455 × 1,203,455
  4. Step 4: Simplify right side
    802,189x = 1,448,303,937,025
  5. Step 5: Solve for x
    x = 1,448,303,937,025/802,189
  6. Step 6: Final answer
    x = 1,805,439.79

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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.