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Finding the Third Proportional to 1,477,746 and 3,183,456

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Solution

The third proportional to 1,477,746 and 3,183,456 is: 6,858,006.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,746 : 3,183,456 = 3,183,456 : x
  2. Step 2: Convert to fraction form
    1,477,746/3,183,456 = 3,183,456/x
  3. Step 3: Cross multiply
    1,477,746x = 3,183,456 × 3,183,456
  4. Step 4: Simplify right side
    1,477,746x = 10,134,392,103,936
  5. Step 5: Solve for x
    x = 10,134,392,103,936/1,477,746
  6. Step 6: Final answer
    x = 6,858,006.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.