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Finding the Third Proportional to 906,648.19 and 1,906,380.56

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Solution

The third proportional to 906,648.19 and 1,906,380.56 is: 4,008,486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,648.19 : 1,906,380.56 = 1,906,380.56 : x
  2. Step 2: Convert to fraction form
    906,648.19/1,906,380.56 = 1,906,380.56/x
  3. Step 3: Cross multiply
    906,648.19x = 1,906,380.56 × 1,906,380.56
  4. Step 4: Simplify right side
    906,648.19x = 3,634,286,849,077.82
  5. Step 5: Solve for x
    x = 3,634,286,849,077.82/906,648.19
  6. Step 6: Final answer
    x = 4,008,486.31

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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.