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Finding the Third Proportional to 804,961 and 1,660,954

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Solution

The third proportional to 804,961 and 1,660,954 is: 3,427,207.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,961 : 1,660,954 = 1,660,954 : x
  2. Step 2: Convert to fraction form
    804,961/1,660,954 = 1,660,954/x
  3. Step 3: Cross multiply
    804,961x = 1,660,954 × 1,660,954
  4. Step 4: Simplify right side
    804,961x = 2,758,768,190,116
  5. Step 5: Solve for x
    x = 2,758,768,190,116/804,961
  6. Step 6: Final answer
    x = 3,427,207.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.