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Finding the Third Proportional to 804,944 and 1,660,920

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Solution

The third proportional to 804,944 and 1,660,920 is: 3,427,139.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,944 : 1,660,920 = 1,660,920 : x
  2. Step 2: Convert to fraction form
    804,944/1,660,920 = 1,660,920/x
  3. Step 3: Cross multiply
    804,944x = 1,660,920 × 1,660,920
  4. Step 4: Simplify right side
    804,944x = 2,758,655,246,400
  5. Step 5: Solve for x
    x = 2,758,655,246,400/804,944
  6. Step 6: Final answer
    x = 3,427,139.34

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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.