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Finding the Third Proportional to 525,942 and 1,135,992

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Solution

The third proportional to 525,942 and 1,135,992 is: 2,453,650.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,942 : 1,135,992 = 1,135,992 : x
  2. Step 2: Convert to fraction form
    525,942/1,135,992 = 1,135,992/x
  3. Step 3: Cross multiply
    525,942x = 1,135,992 × 1,135,992
  4. Step 4: Simplify right side
    525,942x = 1,290,477,824,064
  5. Step 5: Solve for x
    x = 1,290,477,824,064/525,942
  6. Step 6: Final answer
    x = 2,453,650.45

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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.