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Finding the Third Proportional to 481,936.50 and 1,046,954

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Solution

The third proportional to 481,936.50 and 1,046,954 is: 2,274,392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,936.50 : 1,046,954 = 1,046,954 : x
  2. Step 2: Convert to fraction form
    481,936.50/1,046,954 = 1,046,954/x
  3. Step 3: Cross multiply
    481,936.50x = 1,046,954 × 1,046,954
  4. Step 4: Simplify right side
    481,936.50x = 1,096,112,678,116
  5. Step 5: Solve for x
    x = 1,096,112,678,116/481,936.50
  6. Step 6: Final answer
    x = 2,274,392.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.