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Finding the Third Proportional to 1,535,647 and 2,264,104

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Solution

The third proportional to 1,535,647 and 2,264,104 is: 3,338,115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,647 : 2,264,104 = 2,264,104 : x
  2. Step 2: Convert to fraction form
    1,535,647/2,264,104 = 2,264,104/x
  3. Step 3: Cross multiply
    1,535,647x = 2,264,104 × 2,264,104
  4. Step 4: Simplify right side
    1,535,647x = 5,126,166,922,816
  5. Step 5: Solve for x
    x = 5,126,166,922,816/1,535,647
  6. Step 6: Final answer
    x = 3,338,115.42

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.