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Finding the Third Proportional to 501,846 and 1,082,496

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Solution

The third proportional to 501,846 and 1,082,496 is: 2,334,974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,846 : 1,082,496 = 1,082,496 : x
  2. Step 2: Convert to fraction form
    501,846/1,082,496 = 1,082,496/x
  3. Step 3: Cross multiply
    501,846x = 1,082,496 × 1,082,496
  4. Step 4: Simplify right side
    501,846x = 1,171,797,590,016
  5. Step 5: Solve for x
    x = 1,171,797,590,016/501,846
  6. Step 6: Final answer
    x = 2,334,974.45

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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.