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Finding the Third Proportional to 1,143,441 and 2,413,728

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Solution

The third proportional to 1,143,441 and 2,413,728 is: 5,095,219.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,441 : 2,413,728 = 2,413,728 : x
  2. Step 2: Convert to fraction form
    1,143,441/2,413,728 = 2,413,728/x
  3. Step 3: Cross multiply
    1,143,441x = 2,413,728 × 2,413,728
  4. Step 4: Simplify right side
    1,143,441x = 5,826,082,857,984
  5. Step 5: Solve for x
    x = 5,826,082,857,984/1,143,441
  6. Step 6: Final answer
    x = 5,095,219.48

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.