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Finding the Third Proportional to 686,568 and 1,435,912

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Solution

The third proportional to 686,568 and 1,435,912 is: 3,003,115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,568 : 1,435,912 = 1,435,912 : x
  2. Step 2: Convert to fraction form
    686,568/1,435,912 = 1,435,912/x
  3. Step 3: Cross multiply
    686,568x = 1,435,912 × 1,435,912
  4. Step 4: Simplify right side
    686,568x = 2,061,843,271,744
  5. Step 5: Solve for x
    x = 2,061,843,271,744/686,568
  6. Step 6: Final answer
    x = 3,003,115.89

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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.