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Finding the Third Proportional to 936,240 and 1,409,744.25

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Solution

The third proportional to 936,240 and 1,409,744.25 is: 2,122,723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,240 : 1,409,744.25 = 1,409,744.25 : x
  2. Step 2: Convert to fraction form
    936,240/1,409,744.25 = 1,409,744.25/x
  3. Step 3: Cross multiply
    936,240x = 1,409,744.25 × 1,409,744.25
  4. Step 4: Simplify right side
    936,240x = 1,987,378,850,408.06
  5. Step 5: Solve for x
    x = 1,987,378,850,408.06/936,240
  6. Step 6: Final answer
    x = 2,122,723.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.