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Finding the Third Proportional to 517,062 and 1,080,972

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Solution

The third proportional to 517,062 and 1,080,972 is: 2,259,884.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,062 : 1,080,972 = 1,080,972 : x
  2. Step 2: Convert to fraction form
    517,062/1,080,972 = 1,080,972/x
  3. Step 3: Cross multiply
    517,062x = 1,080,972 × 1,080,972
  4. Step 4: Simplify right side
    517,062x = 1,168,500,464,784
  5. Step 5: Solve for x
    x = 1,168,500,464,784/517,062
  6. Step 6: Final answer
    x = 2,259,884.63

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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.