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Finding the Third Proportional to 589,104 and 900,789.75

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Solution

The third proportional to 589,104 and 900,789.75 is: 1,377,383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,104 : 900,789.75 = 900,789.75 : x
  2. Step 2: Convert to fraction form
    589,104/900,789.75 = 900,789.75/x
  3. Step 3: Cross multiply
    589,104x = 900,789.75 × 900,789.75
  4. Step 4: Simplify right side
    589,104x = 811,422,173,705.06
  5. Step 5: Solve for x
    x = 811,422,173,705.06/589,104
  6. Step 6: Final answer
    x = 1,377,383.58

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.