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Finding the Third Proportional to 809,392 and 1,187,824

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Solution

The third proportional to 809,392 and 1,187,824 is: 1,743,192.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,392 : 1,187,824 = 1,187,824 : x
  2. Step 2: Convert to fraction form
    809,392/1,187,824 = 1,187,824/x
  3. Step 3: Cross multiply
    809,392x = 1,187,824 × 1,187,824
  4. Step 4: Simplify right side
    809,392x = 1,410,925,854,976
  5. Step 5: Solve for x
    x = 1,410,925,854,976/809,392
  6. Step 6: Final answer
    x = 1,743,192.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.