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Finding the Third Proportional to 536,720 and 1,157,524

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Solution

The third proportional to 536,720 and 1,157,524 is: 2,496,388.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,720 : 1,157,524 = 1,157,524 : x
  2. Step 2: Convert to fraction form
    536,720/1,157,524 = 1,157,524/x
  3. Step 3: Cross multiply
    536,720x = 1,157,524 × 1,157,524
  4. Step 4: Simplify right side
    536,720x = 1,339,861,810,576
  5. Step 5: Solve for x
    x = 1,339,861,810,576/536,720
  6. Step 6: Final answer
    x = 2,496,388.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.