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Finding the Third Proportional to 809,183.25 and 1,208,234.81

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Solution

The third proportional to 809,183.25 and 1,208,234.81 is: 1,804,080.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,183.25 : 1,208,234.81 = 1,208,234.81 : x
  2. Step 2: Convert to fraction form
    809,183.25/1,208,234.81 = 1,208,234.81/x
  3. Step 3: Cross multiply
    809,183.25x = 1,208,234.81 × 1,208,234.81
  4. Step 4: Simplify right side
    809,183.25x = 1,459,831,362,136.91
  5. Step 5: Solve for x
    x = 1,459,831,362,136.91/809,183.25
  6. Step 6: Final answer
    x = 1,804,080.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.