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Finding the Third Proportional to 767,790 and 1,204,324

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Solution

The third proportional to 767,790 and 1,204,324 is: 1,889,053.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,790 : 1,204,324 = 1,204,324 : x
  2. Step 2: Convert to fraction form
    767,790/1,204,324 = 1,204,324/x
  3. Step 3: Cross multiply
    767,790x = 1,204,324 × 1,204,324
  4. Step 4: Simplify right side
    767,790x = 1,450,396,296,976
  5. Step 5: Solve for x
    x = 1,450,396,296,976/767,790
  6. Step 6: Final answer
    x = 1,889,053.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.