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Finding the Third Proportional to 505,908 and 1,118,934

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Solution

The third proportional to 505,908 and 1,118,934 is: 2,474,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,908 : 1,118,934 = 1,118,934 : x
  2. Step 2: Convert to fraction form
    505,908/1,118,934 = 1,118,934/x
  3. Step 3: Cross multiply
    505,908x = 1,118,934 × 1,118,934
  4. Step 4: Simplify right side
    505,908x = 1,252,013,296,356
  5. Step 5: Solve for x
    x = 1,252,013,296,356/505,908
  6. Step 6: Final answer
    x = 2,474,784.54

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.