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Finding the Third Proportional to 2,075,200 and 3,809,408

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Solution

The third proportional to 2,075,200 and 3,809,408 is: 6,992,863.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075,200 : 3,809,408 = 3,809,408 : x
  2. Step 2: Convert to fraction form
    2,075,200/3,809,408 = 3,809,408/x
  3. Step 3: Cross multiply
    2,075,200x = 3,809,408 × 3,809,408
  4. Step 4: Simplify right side
    2,075,200x = 14,511,589,310,464
  5. Step 5: Solve for x
    x = 14,511,589,310,464/2,075,200
  6. Step 6: Final answer
    x = 6,992,863.01

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.