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Finding the Third Proportional to 906,392 and 1,906,096

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Solution

The third proportional to 906,392 and 1,906,096 is: 4,008,422.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,392 : 1,906,096 = 1,906,096 : x
  2. Step 2: Convert to fraction form
    906,392/1,906,096 = 1,906,096/x
  3. Step 3: Cross multiply
    906,392x = 1,906,096 × 1,906,096
  4. Step 4: Simplify right side
    906,392x = 3,633,201,961,216
  5. Step 5: Solve for x
    x = 3,633,201,961,216/906,392
  6. Step 6: Final answer
    x = 4,008,422.36

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.