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Finding the Third Proportional to 804,150 and 1,768,221

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Solution

The third proportional to 804,150 and 1,768,221 is: 3,888,087.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,150 : 1,768,221 = 1,768,221 : x
  2. Step 2: Convert to fraction form
    804,150/1,768,221 = 1,768,221/x
  3. Step 3: Cross multiply
    804,150x = 1,768,221 × 1,768,221
  4. Step 4: Simplify right side
    804,150x = 3,126,605,504,841
  5. Step 5: Solve for x
    x = 3,126,605,504,841/804,150
  6. Step 6: Final answer
    x = 3,888,087.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.