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Finding the Third Proportional to 804,498 and 1,192,830

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Solution

The third proportional to 804,498 and 1,192,830 is: 1,768,610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,498 : 1,192,830 = 1,192,830 : x
  2. Step 2: Convert to fraction form
    804,498/1,192,830 = 1,192,830/x
  3. Step 3: Cross multiply
    804,498x = 1,192,830 × 1,192,830
  4. Step 4: Simplify right side
    804,498x = 1,422,843,408,900
  5. Step 5: Solve for x
    x = 1,422,843,408,900/804,498
  6. Step 6: Final answer
    x = 1,768,610.25

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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.