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Finding the Third Proportional to 804,539 and 1,192,884

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Solution

The third proportional to 804,539 and 1,192,884 is: 1,768,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,539 : 1,192,884 = 1,192,884 : x
  2. Step 2: Convert to fraction form
    804,539/1,192,884 = 1,192,884/x
  3. Step 3: Cross multiply
    804,539x = 1,192,884 × 1,192,884
  4. Step 4: Simplify right side
    804,539x = 1,422,972,237,456
  5. Step 5: Solve for x
    x = 1,422,972,237,456/804,539
  6. Step 6: Final answer
    x = 1,768,680.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.