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Finding the Third Proportional to 683,867 and 1,583,162

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Solution

The third proportional to 683,867 and 1,583,162 is: 3,665,042.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,867 : 1,583,162 = 1,583,162 : x
  2. Step 2: Convert to fraction form
    683,867/1,583,162 = 1,583,162/x
  3. Step 3: Cross multiply
    683,867x = 1,583,162 × 1,583,162
  4. Step 4: Simplify right side
    683,867x = 2,506,401,918,244
  5. Step 5: Solve for x
    x = 2,506,401,918,244/683,867
  6. Step 6: Final answer
    x = 3,665,042.94

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.