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Finding the Third Proportional to 804,910 and 1,705,744

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Solution

The third proportional to 804,910 and 1,705,744 is: 3,614,767.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,910 : 1,705,744 = 1,705,744 : x
  2. Step 2: Convert to fraction form
    804,910/1,705,744 = 1,705,744/x
  3. Step 3: Cross multiply
    804,910x = 1,705,744 × 1,705,744
  4. Step 4: Simplify right side
    804,910x = 2,909,562,593,536
  5. Step 5: Solve for x
    x = 2,909,562,593,536/804,910
  6. Step 6: Final answer
    x = 3,614,767.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.