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Finding the Third Proportional to 1,509,993 and 3,194,883

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Solution

The third proportional to 1,509,993 and 3,194,883 is: 6,759,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509,993 : 3,194,883 = 3,194,883 : x
  2. Step 2: Convert to fraction form
    1,509,993/3,194,883 = 3,194,883/x
  3. Step 3: Cross multiply
    1,509,993x = 3,194,883 × 3,194,883
  4. Step 4: Simplify right side
    1,509,993x = 10,207,277,383,689
  5. Step 5: Solve for x
    x = 10,207,277,383,689/1,509,993
  6. Step 6: Final answer
    x = 6,759,817.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.