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Finding the Third Proportional to 1,463,300 and 3,194,728

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Solution

The third proportional to 1,463,300 and 3,194,728 is: 6,974,842.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463,300 : 3,194,728 = 3,194,728 : x
  2. Step 2: Convert to fraction form
    1,463,300/3,194,728 = 3,194,728/x
  3. Step 3: Cross multiply
    1,463,300x = 3,194,728 × 3,194,728
  4. Step 4: Simplify right side
    1,463,300x = 10,206,286,993,984
  5. Step 5: Solve for x
    x = 10,206,286,993,984/1,463,300
  6. Step 6: Final answer
    x = 6,974,842.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.