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Finding the Third Proportional to 468,688.50 and 1,003,805

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Solution

The third proportional to 468,688.50 and 1,003,805 is: 2,149,880.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,688.50 : 1,003,805 = 1,003,805 : x
  2. Step 2: Convert to fraction form
    468,688.50/1,003,805 = 1,003,805/x
  3. Step 3: Cross multiply
    468,688.50x = 1,003,805 × 1,003,805
  4. Step 4: Simplify right side
    468,688.50x = 1,007,624,478,025
  5. Step 5: Solve for x
    x = 1,007,624,478,025/468,688.50
  6. Step 6: Final answer
    x = 2,149,880.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.