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Finding the Third Proportional to 505,026 and 1,080,096

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Solution

The third proportional to 505,026 and 1,080,096 is: 2,309,994.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,026 : 1,080,096 = 1,080,096 : x
  2. Step 2: Convert to fraction form
    505,026/1,080,096 = 1,080,096/x
  3. Step 3: Cross multiply
    505,026x = 1,080,096 × 1,080,096
  4. Step 4: Simplify right side
    505,026x = 1,166,607,369,216
  5. Step 5: Solve for x
    x = 1,166,607,369,216/505,026
  6. Step 6: Final answer
    x = 2,309,994.67

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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.