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Finding the Third Proportional to 1,968,060.75 and 3,213,666

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Solution

The third proportional to 1,968,060.75 and 3,213,666 is: 5,247,627.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968,060.75 : 3,213,666 = 3,213,666 : x
  2. Step 2: Convert to fraction form
    1,968,060.75/3,213,666 = 3,213,666/x
  3. Step 3: Cross multiply
    1,968,060.75x = 3,213,666 × 3,213,666
  4. Step 4: Simplify right side
    1,968,060.75x = 10,327,649,159,556
  5. Step 5: Solve for x
    x = 10,327,649,159,556/1,968,060.75
  6. Step 6: Final answer
    x = 5,247,627.22

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.