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Finding the Third Proportional to 481,962 and 1,046,891

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Solution

The third proportional to 481,962 and 1,046,891 is: 2,273,998.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,962 : 1,046,891 = 1,046,891 : x
  2. Step 2: Convert to fraction form
    481,962/1,046,891 = 1,046,891/x
  3. Step 3: Cross multiply
    481,962x = 1,046,891 × 1,046,891
  4. Step 4: Simplify right side
    481,962x = 1,095,980,765,881
  5. Step 5: Solve for x
    x = 1,095,980,765,881/481,962
  6. Step 6: Final answer
    x = 2,273,998.29

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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.