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Finding the Third Proportional to 505,314 and 1,080,648

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Solution

The third proportional to 505,314 and 1,080,648 is: 2,311,038.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,314 : 1,080,648 = 1,080,648 : x
  2. Step 2: Convert to fraction form
    505,314/1,080,648 = 1,080,648/x
  3. Step 3: Cross multiply
    505,314x = 1,080,648 × 1,080,648
  4. Step 4: Simplify right side
    505,314x = 1,167,800,099,904
  5. Step 5: Solve for x
    x = 1,167,800,099,904/505,314
  6. Step 6: Final answer
    x = 2,311,038.48

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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.