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Finding the Third Proportional to 517,024 and 1,093,661

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Solution

The third proportional to 517,024 and 1,093,661 is: 2,313,421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,024 : 1,093,661 = 1,093,661 : x
  2. Step 2: Convert to fraction form
    517,024/1,093,661 = 1,093,661/x
  3. Step 3: Cross multiply
    517,024x = 1,093,661 × 1,093,661
  4. Step 4: Simplify right side
    517,024x = 1,196,094,382,921
  5. Step 5: Solve for x
    x = 1,196,094,382,921/517,024
  6. Step 6: Final answer
    x = 2,313,421.39

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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.