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Finding the Third Proportional to 481,069 and 1,039,223

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Solution

The third proportional to 481,069 and 1,039,223 is: 2,244,967.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,069 : 1,039,223 = 1,039,223 : x
  2. Step 2: Convert to fraction form
    481,069/1,039,223 = 1,039,223/x
  3. Step 3: Cross multiply
    481,069x = 1,039,223 × 1,039,223
  4. Step 4: Simplify right side
    481,069x = 1,079,984,443,729
  5. Step 5: Solve for x
    x = 1,079,984,443,729/481,069
  6. Step 6: Final answer
    x = 2,244,967.86

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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.