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Finding the Third Proportional to 1,261,027 and 1,769,471

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Solution

The third proportional to 1,261,027 and 1,769,471 is: 2,482,918.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261,027 : 1,769,471 = 1,769,471 : x
  2. Step 2: Convert to fraction form
    1,261,027/1,769,471 = 1,769,471/x
  3. Step 3: Cross multiply
    1,261,027x = 1,769,471 × 1,769,471
  4. Step 4: Simplify right side
    1,261,027x = 3,131,027,619,841
  5. Step 5: Solve for x
    x = 3,131,027,619,841/1,261,027
  6. Step 6: Final answer
    x = 2,482,918.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.