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Finding the Third Proportional to 761,871 and 1,659,198

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Solution

The third proportional to 761,871 and 1,659,198 is: 3,613,391.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,871 : 1,659,198 = 1,659,198 : x
  2. Step 2: Convert to fraction form
    761,871/1,659,198 = 1,659,198/x
  3. Step 3: Cross multiply
    761,871x = 1,659,198 × 1,659,198
  4. Step 4: Simplify right side
    761,871x = 2,752,938,003,204
  5. Step 5: Solve for x
    x = 2,752,938,003,204/761,871
  6. Step 6: Final answer
    x = 3,613,391.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.