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Finding the Third Proportional to 524,124 and 1,089,720

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Solution

The third proportional to 524,124 and 1,089,720 is: 2,265,665.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,124 : 1,089,720 = 1,089,720 : x
  2. Step 2: Convert to fraction form
    524,124/1,089,720 = 1,089,720/x
  3. Step 3: Cross multiply
    524,124x = 1,089,720 × 1,089,720
  4. Step 4: Simplify right side
    524,124x = 1,187,489,678,400
  5. Step 5: Solve for x
    x = 1,187,489,678,400/524,124
  6. Step 6: Final answer
    x = 2,265,665.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.