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Finding the Third Proportional to 673,434 and 1,496,336

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Solution

The third proportional to 673,434 and 1,496,336 is: 3,324,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,434 : 1,496,336 = 1,496,336 : x
  2. Step 2: Convert to fraction form
    673,434/1,496,336 = 1,496,336/x
  3. Step 3: Cross multiply
    673,434x = 1,496,336 × 1,496,336
  4. Step 4: Simplify right side
    673,434x = 2,239,021,424,896
  5. Step 5: Solve for x
    x = 2,239,021,424,896/673,434
  6. Step 6: Final answer
    x = 3,324,782.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.