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Finding the Third Proportional to 673,003.69 and 1,464,105.38

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Solution

The third proportional to 673,003.69 and 1,464,105.38 is: 3,185,130.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,003.69 : 1,464,105.38 = 1,464,105.38 : x
  2. Step 2: Convert to fraction form
    673,003.69/1,464,105.38 = 1,464,105.38/x
  3. Step 3: Cross multiply
    673,003.69x = 1,464,105.38 × 1,464,105.38
  4. Step 4: Simplify right side
    673,003.69x = 2,143,604,549,103.89
  5. Step 5: Solve for x
    x = 2,143,604,549,103.89/673,003.69
  6. Step 6: Final answer
    x = 3,185,130.47

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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.