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Finding the Third Proportional to 1,036,289 and 2,241,114

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Solution

The third proportional to 1,036,289 and 2,241,114 is: 4,846,709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,289 : 2,241,114 = 2,241,114 : x
  2. Step 2: Convert to fraction form
    1,036,289/2,241,114 = 2,241,114/x
  3. Step 3: Cross multiply
    1,036,289x = 2,241,114 × 2,241,114
  4. Step 4: Simplify right side
    1,036,289x = 5,022,591,960,996
  5. Step 5: Solve for x
    x = 5,022,591,960,996/1,036,289
  6. Step 6: Final answer
    x = 4,846,709.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.