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Finding the Third Proportional to 1,301,826 and 2,667,075

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Solution

The third proportional to 1,301,826 and 2,667,075 is: 5,464,085.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301,826 : 2,667,075 = 2,667,075 : x
  2. Step 2: Convert to fraction form
    1,301,826/2,667,075 = 2,667,075/x
  3. Step 3: Cross multiply
    1,301,826x = 2,667,075 × 2,667,075
  4. Step 4: Simplify right side
    1,301,826x = 7,113,289,055,625
  5. Step 5: Solve for x
    x = 7,113,289,055,625/1,301,826
  6. Step 6: Final answer
    x = 5,464,085.87

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.