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Finding the Third Proportional to 672,193.69 and 1,451,352.94

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Solution

The third proportional to 672,193.69 and 1,451,352.94 is: 3,133,658.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,193.69 : 1,451,352.94 = 1,451,352.94 : x
  2. Step 2: Convert to fraction form
    672,193.69/1,451,352.94 = 1,451,352.94/x
  3. Step 3: Cross multiply
    672,193.69x = 1,451,352.94 × 1,451,352.94
  4. Step 4: Simplify right side
    672,193.69x = 2,106,425,349,189.88
  5. Step 5: Solve for x
    x = 2,106,425,349,189.88/672,193.69
  6. Step 6: Final answer
    x = 3,133,658.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.