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Finding the Third Proportional to 468,409.50 and 1,007,861.63

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Solution

The third proportional to 468,409.50 and 1,007,861.63 is: 2,168,583.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,409.50 : 1,007,861.63 = 1,007,861.63 : x
  2. Step 2: Convert to fraction form
    468,409.50/1,007,861.63 = 1,007,861.63/x
  3. Step 3: Cross multiply
    468,409.50x = 1,007,861.63 × 1,007,861.63
  4. Step 4: Simplify right side
    468,409.50x = 1,015,785,055,147.64
  5. Step 5: Solve for x
    x = 1,015,785,055,147.64/468,409.50
  6. Step 6: Final answer
    x = 2,168,583.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.