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Finding the Third Proportional to 804,525 and 1,192,863

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Solution

The third proportional to 804,525 and 1,192,863 is: 1,768,648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,525 : 1,192,863 = 1,192,863 : x
  2. Step 2: Convert to fraction form
    804,525/1,192,863 = 1,192,863/x
  3. Step 3: Cross multiply
    804,525x = 1,192,863 × 1,192,863
  4. Step 4: Simplify right side
    804,525x = 1,422,922,136,769
  5. Step 5: Solve for x
    x = 1,422,922,136,769/804,525
  6. Step 6: Final answer
    x = 1,768,648.75

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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.