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Finding the Third Proportional to 624,089 and 936,149

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Solution

The third proportional to 624,089 and 936,149 is: 1,404,246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,089 : 936,149 = 936,149 : x
  2. Step 2: Convert to fraction form
    624,089/936,149 = 936,149/x
  3. Step 3: Cross multiply
    624,089x = 936,149 × 936,149
  4. Step 4: Simplify right side
    624,089x = 876,374,950,201
  5. Step 5: Solve for x
    x = 876,374,950,201/624,089
  6. Step 6: Final answer
    x = 1,404,246.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.