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Finding the Third Proportional to 514,081 and 1,138,274

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Solution

The third proportional to 514,081 and 1,138,274 is: 2,520,357.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,081 : 1,138,274 = 1,138,274 : x
  2. Step 2: Convert to fraction form
    514,081/1,138,274 = 1,138,274/x
  3. Step 3: Cross multiply
    514,081x = 1,138,274 × 1,138,274
  4. Step 4: Simplify right side
    514,081x = 1,295,667,699,076
  5. Step 5: Solve for x
    x = 1,295,667,699,076/514,081
  6. Step 6: Final answer
    x = 2,520,357.10

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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.