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Finding the Third Proportional to 679,457.25 and 1,481,004

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Solution

The third proportional to 679,457.25 and 1,481,004 is: 3,228,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,457.25 : 1,481,004 = 1,481,004 : x
  2. Step 2: Convert to fraction form
    679,457.25/1,481,004 = 1,481,004/x
  3. Step 3: Cross multiply
    679,457.25x = 1,481,004 × 1,481,004
  4. Step 4: Simplify right side
    679,457.25x = 2,193,372,848,016
  5. Step 5: Solve for x
    x = 2,193,372,848,016/679,457.25
  6. Step 6: Final answer
    x = 3,228,124.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.