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Finding the Third Proportional to 604,021 and 844,907

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Solution

The third proportional to 604,021 and 844,907 is: 1,181,859.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,021 : 844,907 = 844,907 : x
  2. Step 2: Convert to fraction form
    604,021/844,907 = 844,907/x
  3. Step 3: Cross multiply
    604,021x = 844,907 × 844,907
  4. Step 4: Simplify right side
    604,021x = 713,867,838,649
  5. Step 5: Solve for x
    x = 713,867,838,649/604,021
  6. Step 6: Final answer
    x = 1,181,859.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.