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Finding the Third Proportional to 517,073 and 1,080,994

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Solution

The third proportional to 517,073 and 1,080,994 is: 2,259,928.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,073 : 1,080,994 = 1,080,994 : x
  2. Step 2: Convert to fraction form
    517,073/1,080,994 = 1,080,994/x
  3. Step 3: Cross multiply
    517,073x = 1,080,994 × 1,080,994
  4. Step 4: Simplify right side
    517,073x = 1,168,548,028,036
  5. Step 5: Solve for x
    x = 1,168,548,028,036/517,073
  6. Step 6: Final answer
    x = 2,259,928.54

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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.