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Finding the Third Proportional to 1,082,304 and 2,413,056

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Solution

The third proportional to 1,082,304 and 2,413,056 is: 5,380,040.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,304 : 2,413,056 = 2,413,056 : x
  2. Step 2: Convert to fraction form
    1,082,304/2,413,056 = 2,413,056/x
  3. Step 3: Cross multiply
    1,082,304x = 2,413,056 × 2,413,056
  4. Step 4: Simplify right side
    1,082,304x = 5,822,839,259,136
  5. Step 5: Solve for x
    x = 5,822,839,259,136/1,082,304
  6. Step 6: Final answer
    x = 5,380,040.41

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.