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Finding the Third Proportional to 1,697,886 and 2,568,702

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Solution

The third proportional to 1,697,886 and 2,568,702 is: 3,886,144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697,886 : 2,568,702 = 2,568,702 : x
  2. Step 2: Convert to fraction form
    1,697,886/2,568,702 = 2,568,702/x
  3. Step 3: Cross multiply
    1,697,886x = 2,568,702 × 2,568,702
  4. Step 4: Simplify right side
    1,697,886x = 6,598,229,964,804
  5. Step 5: Solve for x
    x = 6,598,229,964,804/1,697,886
  6. Step 6: Final answer
    x = 3,886,144.28

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