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Finding the Third Proportional to 1,410,816 and 3,100,416

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Solution

The third proportional to 1,410,816 and 3,100,416 is: 6,813,489.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,816 : 3,100,416 = 3,100,416 : x
  2. Step 2: Convert to fraction form
    1,410,816/3,100,416 = 3,100,416/x
  3. Step 3: Cross multiply
    1,410,816x = 3,100,416 × 3,100,416
  4. Step 4: Simplify right side
    1,410,816x = 9,612,579,373,056
  5. Step 5: Solve for x
    x = 9,612,579,373,056/1,410,816
  6. Step 6: Final answer
    x = 6,813,489.05

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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.