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Finding the Third Proportional to 1,697 and 1,859

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Solution

The third proportional to 1,697 and 1,859 is: 2,036.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697 : 1,859 = 1,859 : x
  2. Step 2: Convert to fraction form
    1,697/1,859 = 1,859/x
  3. Step 3: Cross multiply
    1,697x = 1,859 × 1,859
  4. Step 4: Simplify right side
    1,697x = 3,455,881
  5. Step 5: Solve for x
    x = 3,455,881/1,697
  6. Step 6: Final answer
    x = 2,036.46

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.