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Finding the Third Proportional to 1,107,269 and 2,414,647

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Solution

The third proportional to 1,107,269 and 2,414,647 is: 5,265,676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107,269 : 2,414,647 = 2,414,647 : x
  2. Step 2: Convert to fraction form
    1,107,269/2,414,647 = 2,414,647/x
  3. Step 3: Cross multiply
    1,107,269x = 2,414,647 × 2,414,647
  4. Step 4: Simplify right side
    1,107,269x = 5,830,520,134,609
  5. Step 5: Solve for x
    x = 5,830,520,134,609/1,107,269
  6. Step 6: Final answer
    x = 5,265,676.30

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.