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Finding the Third Proportional to 1,241,408 and 2,659,923

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Solution

The third proportional to 1,241,408 and 2,659,923 is: 5,699,327.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,408 : 2,659,923 = 2,659,923 : x
  2. Step 2: Convert to fraction form
    1,241,408/2,659,923 = 2,659,923/x
  3. Step 3: Cross multiply
    1,241,408x = 2,659,923 × 2,659,923
  4. Step 4: Simplify right side
    1,241,408x = 7,075,190,365,929
  5. Step 5: Solve for x
    x = 7,075,190,365,929/1,241,408
  6. Step 6: Final answer
    x = 5,699,327.19

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.