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Finding the Third Proportional to 524,028 and 1,122,824

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Solution

The third proportional to 524,028 and 1,122,824 is: 2,405,851.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,028 : 1,122,824 = 1,122,824 : x
  2. Step 2: Convert to fraction form
    524,028/1,122,824 = 1,122,824/x
  3. Step 3: Cross multiply
    524,028x = 1,122,824 × 1,122,824
  4. Step 4: Simplify right side
    524,028x = 1,260,733,734,976
  5. Step 5: Solve for x
    x = 1,260,733,734,976/524,028
  6. Step 6: Final answer
    x = 2,405,851.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.