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Finding the Third Proportional to 734,192 and 1,556,512

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Solution

The third proportional to 734,192 and 1,556,512 is: 3,299,858.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,192 : 1,556,512 = 1,556,512 : x
  2. Step 2: Convert to fraction form
    734,192/1,556,512 = 1,556,512/x
  3. Step 3: Cross multiply
    734,192x = 1,556,512 × 1,556,512
  4. Step 4: Simplify right side
    734,192x = 2,422,729,606,144
  5. Step 5: Solve for x
    x = 2,422,729,606,144/734,192
  6. Step 6: Final answer
    x = 3,299,858.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.