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Finding the Third Proportional to 505,140 and 1,080,324

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Solution

The third proportional to 505,140 and 1,080,324 is: 2,310,448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,140 : 1,080,324 = 1,080,324 : x
  2. Step 2: Convert to fraction form
    505,140/1,080,324 = 1,080,324/x
  3. Step 3: Cross multiply
    505,140x = 1,080,324 × 1,080,324
  4. Step 4: Simplify right side
    505,140x = 1,167,099,944,976
  5. Step 5: Solve for x
    x = 1,167,099,944,976/505,140
  6. Step 6: Final answer
    x = 2,310,448.48

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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.