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Finding the Third Proportional to 481,539 and 1,043,324

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Solution

The third proportional to 481,539 and 1,043,324 is: 2,260,512.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,539 : 1,043,324 = 1,043,324 : x
  2. Step 2: Convert to fraction form
    481,539/1,043,324 = 1,043,324/x
  3. Step 3: Cross multiply
    481,539x = 1,043,324 × 1,043,324
  4. Step 4: Simplify right side
    481,539x = 1,088,524,968,976
  5. Step 5: Solve for x
    x = 1,088,524,968,976/481,539
  6. Step 6: Final answer
    x = 2,260,512.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.