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Finding the Third Proportional to 525,936 and 1,135,920

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Solution

The third proportional to 525,936 and 1,135,920 is: 2,453,367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,936 : 1,135,920 = 1,135,920 : x
  2. Step 2: Convert to fraction form
    525,936/1,135,920 = 1,135,920/x
  3. Step 3: Cross multiply
    525,936x = 1,135,920 × 1,135,920
  4. Step 4: Simplify right side
    525,936x = 1,290,314,246,400
  5. Step 5: Solve for x
    x = 1,290,314,246,400/525,936
  6. Step 6: Final answer
    x = 2,453,367.42

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