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Finding the Third Proportional to 804,942 and 1,660,916

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Solution

The third proportional to 804,942 and 1,660,916 is: 3,427,131.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,942 : 1,660,916 = 1,660,916 : x
  2. Step 2: Convert to fraction form
    804,942/1,660,916 = 1,660,916/x
  3. Step 3: Cross multiply
    804,942x = 1,660,916 × 1,660,916
  4. Step 4: Simplify right side
    804,942x = 2,758,641,959,056
  5. Step 5: Solve for x
    x = 2,758,641,959,056/804,942
  6. Step 6: Final answer
    x = 3,427,131.34

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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.