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Finding the Third Proportional to 525,892 and 854,412

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Solution

The third proportional to 525,892 and 854,412 is: 1,388,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,892 : 854,412 = 854,412 : x
  2. Step 2: Convert to fraction form
    525,892/854,412 = 854,412/x
  3. Step 3: Cross multiply
    525,892x = 854,412 × 854,412
  4. Step 4: Simplify right side
    525,892x = 730,019,865,744
  5. Step 5: Solve for x
    x = 730,019,865,744/525,892
  6. Step 6: Final answer
    x = 1,388,155.49

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.