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Finding the Third Proportional to 1,150,209 and 2,419,406

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Solution

The third proportional to 1,150,209 and 2,419,406 is: 5,089,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150,209 : 2,419,406 = 2,419,406 : x
  2. Step 2: Convert to fraction form
    1,150,209/2,419,406 = 2,419,406/x
  3. Step 3: Cross multiply
    1,150,209x = 2,419,406 × 2,419,406
  4. Step 4: Simplify right side
    1,150,209x = 5,853,525,392,836
  5. Step 5: Solve for x
    x = 5,853,525,392,836/1,150,209
  6. Step 6: Final answer
    x = 5,089,097.19

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.