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Finding the Third Proportional to 673,954 and 1,471,404

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Solution

The third proportional to 673,954 and 1,471,404 is: 3,212,429.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,954 : 1,471,404 = 1,471,404 : x
  2. Step 2: Convert to fraction form
    673,954/1,471,404 = 1,471,404/x
  3. Step 3: Cross multiply
    673,954x = 1,471,404 × 1,471,404
  4. Step 4: Simplify right side
    673,954x = 2,165,029,731,216
  5. Step 5: Solve for x
    x = 2,165,029,731,216/673,954
  6. Step 6: Final answer
    x = 3,212,429.53

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