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Finding the Third Proportional to 469,955.81 and 993,486.38

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Solution

The third proportional to 469,955.81 and 993,486.38 is: 2,100,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,955.81 : 993,486.38 = 993,486.38 : x
  2. Step 2: Convert to fraction form
    469,955.81/993,486.38 = 993,486.38/x
  3. Step 3: Cross multiply
    469,955.81x = 993,486.38 × 993,486.38
  4. Step 4: Simplify right side
    469,955.81x = 987,015,177,310.64
  5. Step 5: Solve for x
    x = 987,015,177,310.64/469,955.81
  6. Step 6: Final answer
    x = 2,100,229.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.