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Finding the Third Proportional to 525,992 and 1,150,398

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Solution

The third proportional to 525,992 and 1,150,398 is: 2,516,037.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,992 : 1,150,398 = 1,150,398 : x
  2. Step 2: Convert to fraction form
    525,992/1,150,398 = 1,150,398/x
  3. Step 3: Cross multiply
    525,992x = 1,150,398 × 1,150,398
  4. Step 4: Simplify right side
    525,992x = 1,323,415,558,404
  5. Step 5: Solve for x
    x = 1,323,415,558,404/525,992
  6. Step 6: Final answer
    x = 2,516,037.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.