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Finding the Third Proportional to 520,452 and 1,135,215

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Solution

The third proportional to 520,452 and 1,135,215 is: 2,476,142.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,452 : 1,135,215 = 1,135,215 : x
  2. Step 2: Convert to fraction form
    520,452/1,135,215 = 1,135,215/x
  3. Step 3: Cross multiply
    520,452x = 1,135,215 × 1,135,215
  4. Step 4: Simplify right side
    520,452x = 1,288,713,096,225
  5. Step 5: Solve for x
    x = 1,288,713,096,225/520,452
  6. Step 6: Final answer
    x = 2,476,142.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.