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Finding the Third Proportional to 1,124,424 and 2,467,611

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Solution

The third proportional to 1,124,424 and 2,467,611 is: 5,415,309.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124,424 : 2,467,611 = 2,467,611 : x
  2. Step 2: Convert to fraction form
    1,124,424/2,467,611 = 2,467,611/x
  3. Step 3: Cross multiply
    1,124,424x = 2,467,611 × 2,467,611
  4. Step 4: Simplify right side
    1,124,424x = 6,089,104,047,321
  5. Step 5: Solve for x
    x = 6,089,104,047,321/1,124,424
  6. Step 6: Final answer
    x = 5,415,309.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.