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Finding the Third Proportional to 673,994.25 and 1,467,009

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Solution

The third proportional to 673,994.25 and 1,467,009 is: 3,193,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,994.25 : 1,467,009 = 1,467,009 : x
  2. Step 2: Convert to fraction form
    673,994.25/1,467,009 = 1,467,009/x
  3. Step 3: Cross multiply
    673,994.25x = 1,467,009 × 1,467,009
  4. Step 4: Simplify right side
    673,994.25x = 2,152,115,406,081
  5. Step 5: Solve for x
    x = 2,152,115,406,081/673,994.25
  6. Step 6: Final answer
    x = 3,193,076.80

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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.