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Finding the Third Proportional to 470,676 and 1,019,976

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Solution

The third proportional to 470,676 and 1,019,976 is: 2,210,333.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,676 : 1,019,976 = 1,019,976 : x
  2. Step 2: Convert to fraction form
    470,676/1,019,976 = 1,019,976/x
  3. Step 3: Cross multiply
    470,676x = 1,019,976 × 1,019,976
  4. Step 4: Simplify right side
    470,676x = 1,040,351,040,576
  5. Step 5: Solve for x
    x = 1,040,351,040,576/470,676
  6. Step 6: Final answer
    x = 2,210,333.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.