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Finding the Third Proportional to 807,021 and 1,697,697

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Solution

The third proportional to 807,021 and 1,697,697 is: 3,571,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,021 : 1,697,697 = 1,697,697 : x
  2. Step 2: Convert to fraction form
    807,021/1,697,697 = 1,697,697/x
  3. Step 3: Cross multiply
    807,021x = 1,697,697 × 1,697,697
  4. Step 4: Simplify right side
    807,021x = 2,882,175,103,809
  5. Step 5: Solve for x
    x = 2,882,175,103,809/807,021
  6. Step 6: Final answer
    x = 3,571,375.59

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.