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Finding the Third Proportional to 728,864 and 1,601,224

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Solution

The third proportional to 728,864 and 1,601,224 is: 3,517,690.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,864 : 1,601,224 = 1,601,224 : x
  2. Step 2: Convert to fraction form
    728,864/1,601,224 = 1,601,224/x
  3. Step 3: Cross multiply
    728,864x = 1,601,224 × 1,601,224
  4. Step 4: Simplify right side
    728,864x = 2,563,918,298,176
  5. Step 5: Solve for x
    x = 2,563,918,298,176/728,864
  6. Step 6: Final answer
    x = 3,517,690.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.