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Finding the Third Proportional to 517,170 and 1,095,912

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Solution

The third proportional to 517,170 and 1,095,912 is: 2,322,298.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,170 : 1,095,912 = 1,095,912 : x
  2. Step 2: Convert to fraction form
    517,170/1,095,912 = 1,095,912/x
  3. Step 3: Cross multiply
    517,170x = 1,095,912 × 1,095,912
  4. Step 4: Simplify right side
    517,170x = 1,201,023,111,744
  5. Step 5: Solve for x
    x = 1,201,023,111,744/517,170
  6. Step 6: Final answer
    x = 2,322,298.49

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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.