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Finding the Third Proportional to 575,824 and 1,188,530

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Solution

The third proportional to 575,824 and 1,188,530 is: 2,453,186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,824 : 1,188,530 = 1,188,530 : x
  2. Step 2: Convert to fraction form
    575,824/1,188,530 = 1,188,530/x
  3. Step 3: Cross multiply
    575,824x = 1,188,530 × 1,188,530
  4. Step 4: Simplify right side
    575,824x = 1,412,603,560,900
  5. Step 5: Solve for x
    x = 1,412,603,560,900/575,824
  6. Step 6: Final answer
    x = 2,453,186.32

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.