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Finding the Third Proportional to 835,660 and 1,291,824

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Solution

The third proportional to 835,660 and 1,291,824 is: 1,996,995.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,660 : 1,291,824 = 1,291,824 : x
  2. Step 2: Convert to fraction form
    835,660/1,291,824 = 1,291,824/x
  3. Step 3: Cross multiply
    835,660x = 1,291,824 × 1,291,824
  4. Step 4: Simplify right side
    835,660x = 1,668,809,246,976
  5. Step 5: Solve for x
    x = 1,668,809,246,976/835,660
  6. Step 6: Final answer
    x = 1,996,995.48

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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.