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Finding the Third Proportional to 812,024 and 1,786,048

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Solution

The third proportional to 812,024 and 1,786,048 is: 3,928,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,024 : 1,786,048 = 1,786,048 : x
  2. Step 2: Convert to fraction form
    812,024/1,786,048 = 1,786,048/x
  3. Step 3: Cross multiply
    812,024x = 1,786,048 × 1,786,048
  4. Step 4: Simplify right side
    812,024x = 3,189,967,458,304
  5. Step 5: Solve for x
    x = 3,189,967,458,304/812,024
  6. Step 6: Final answer
    x = 3,928,415.24

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.