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Finding the Third Proportional to 517,869 and 1,107,697

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Solution

The third proportional to 517,869 and 1,107,697 is: 2,369,310.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,869 : 1,107,697 = 1,107,697 : x
  2. Step 2: Convert to fraction form
    517,869/1,107,697 = 1,107,697/x
  3. Step 3: Cross multiply
    517,869x = 1,107,697 × 1,107,697
  4. Step 4: Simplify right side
    517,869x = 1,226,992,643,809
  5. Step 5: Solve for x
    x = 1,226,992,643,809/517,869
  6. Step 6: Final answer
    x = 2,369,310.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.