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Finding the Third Proportional to 1,286,871 and 2,827,542

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Solution

The third proportional to 1,286,871 and 2,827,542 is: 6,212,739.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,871 : 2,827,542 = 2,827,542 : x
  2. Step 2: Convert to fraction form
    1,286,871/2,827,542 = 2,827,542/x
  3. Step 3: Cross multiply
    1,286,871x = 2,827,542 × 2,827,542
  4. Step 4: Simplify right side
    1,286,871x = 7,994,993,761,764
  5. Step 5: Solve for x
    x = 7,994,993,761,764/1,286,871
  6. Step 6: Final answer
    x = 6,212,739.09

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.