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Finding the Third Proportional to 664,880 and 1,454,392

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Solution

The third proportional to 664,880 and 1,454,392 is: 3,181,410.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,880 : 1,454,392 = 1,454,392 : x
  2. Step 2: Convert to fraction form
    664,880/1,454,392 = 1,454,392/x
  3. Step 3: Cross multiply
    664,880x = 1,454,392 × 1,454,392
  4. Step 4: Simplify right side
    664,880x = 2,115,256,089,664
  5. Step 5: Solve for x
    x = 2,115,256,089,664/664,880
  6. Step 6: Final answer
    x = 3,181,410.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.