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Finding the Third Proportional to 1,697,872 and 2,568,675

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Solution

The third proportional to 1,697,872 and 2,568,675 is: 3,886,094.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697,872 : 2,568,675 = 2,568,675 : x
  2. Step 2: Convert to fraction form
    1,697,872/2,568,675 = 2,568,675/x
  3. Step 3: Cross multiply
    1,697,872x = 2,568,675 × 2,568,675
  4. Step 4: Simplify right side
    1,697,872x = 6,598,091,255,625
  5. Step 5: Solve for x
    x = 6,598,091,255,625/1,697,872
  6. Step 6: Final answer
    x = 3,886,094.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.