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Finding the Third Proportional to 673,469.44 and 1,463,194.13

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Solution

The third proportional to 673,469.44 and 1,463,194.13 is: 3,178,966.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,469.44 : 1,463,194.13 = 1,463,194.13 : x
  2. Step 2: Convert to fraction form
    673,469.44/1,463,194.13 = 1,463,194.13/x
  3. Step 3: Cross multiply
    673,469.44x = 1,463,194.13 × 1,463,194.13
  4. Step 4: Simplify right side
    673,469.44x = 2,140,937,047,434.52
  5. Step 5: Solve for x
    x = 2,140,937,047,434.52/673,469.44
  6. Step 6: Final answer
    x = 3,178,966.90

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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.