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Finding the Third Proportional to 968,256 and 1,493,216

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Solution

The third proportional to 968,256 and 1,493,216 is: 2,302,793.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,256 : 1,493,216 = 1,493,216 : x
  2. Step 2: Convert to fraction form
    968,256/1,493,216 = 1,493,216/x
  3. Step 3: Cross multiply
    968,256x = 1,493,216 × 1,493,216
  4. Step 4: Simplify right side
    968,256x = 2,229,694,022,656
  5. Step 5: Solve for x
    x = 2,229,694,022,656/968,256
  6. Step 6: Final answer
    x = 2,302,793.91

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.