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Finding the Third Proportional to 2,589,144 and 5,632,752

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Solution

The third proportional to 2,589,144 and 5,632,752 is: 12,254,202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589,144 : 5,632,752 = 5,632,752 : x
  2. Step 2: Convert to fraction form
    2,589,144/5,632,752 = 5,632,752/x
  3. Step 3: Cross multiply
    2,589,144x = 5,632,752 × 5,632,752
  4. Step 4: Simplify right side
    2,589,144x = 31,727,895,093,504
  5. Step 5: Solve for x
    x = 31,727,895,093,504/2,589,144
  6. Step 6: Final answer
    x = 12,254,202.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.