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Finding the Third Proportional to 728,768 and 1,601,014

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Solution

The third proportional to 728,768 and 1,601,014 is: 3,517,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,768 : 1,601,014 = 1,601,014 : x
  2. Step 2: Convert to fraction form
    728,768/1,601,014 = 1,601,014/x
  3. Step 3: Cross multiply
    728,768x = 1,601,014 × 1,601,014
  4. Step 4: Simplify right side
    728,768x = 2,563,245,828,196
  5. Step 5: Solve for x
    x = 2,563,245,828,196/728,768
  6. Step 6: Final answer
    x = 3,517,231.59

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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.