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Finding the Third Proportional to 517,071 and 1,080,990

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Solution

The third proportional to 517,071 and 1,080,990 is: 2,259,920.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,071 : 1,080,990 = 1,080,990 : x
  2. Step 2: Convert to fraction form
    517,071/1,080,990 = 1,080,990/x
  3. Step 3: Cross multiply
    517,071x = 1,080,990 × 1,080,990
  4. Step 4: Simplify right side
    517,071x = 1,168,539,380,100
  5. Step 5: Solve for x
    x = 1,168,539,380,100/517,071
  6. Step 6: Final answer
    x = 2,259,920.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.