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Finding the Third Proportional to 673,469.44 and 1,461,376.69

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Solution

The third proportional to 673,469.44 and 1,461,376.69 is: 3,171,074.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,469.44 : 1,461,376.69 = 1,461,376.69 : x
  2. Step 2: Convert to fraction form
    673,469.44/1,461,376.69 = 1,461,376.69/x
  3. Step 3: Cross multiply
    673,469.44x = 1,461,376.69 × 1,461,376.69
  4. Step 4: Simplify right side
    673,469.44x = 2,135,621,822,768.47
  5. Step 5: Solve for x
    x = 2,135,621,822,768.47/673,469.44
  6. Step 6: Final answer
    x = 3,171,074.59

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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.