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Finding the Third Proportional to 512,641 and 1,101,170

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Solution

The third proportional to 512,641 and 1,101,170 is: 2,365,349.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,641 : 1,101,170 = 1,101,170 : x
  2. Step 2: Convert to fraction form
    512,641/1,101,170 = 1,101,170/x
  3. Step 3: Cross multiply
    512,641x = 1,101,170 × 1,101,170
  4. Step 4: Simplify right side
    512,641x = 1,212,575,368,900
  5. Step 5: Solve for x
    x = 1,212,575,368,900/512,641
  6. Step 6: Final answer
    x = 2,365,349.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.