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Finding the Third Proportional to 505,138 and 1,080,322

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Solution

The third proportional to 505,138 and 1,080,322 is: 2,310,449.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,138 : 1,080,322 = 1,080,322 : x
  2. Step 2: Convert to fraction form
    505,138/1,080,322 = 1,080,322/x
  3. Step 3: Cross multiply
    505,138x = 1,080,322 × 1,080,322
  4. Step 4: Simplify right side
    505,138x = 1,167,095,623,684
  5. Step 5: Solve for x
    x = 1,167,095,623,684/505,138
  6. Step 6: Final answer
    x = 2,310,449.07

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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.