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Finding the Third Proportional to 683,372 and 1,041,906

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Solution

The third proportional to 683,372 and 1,041,906 is: 1,588,546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,372 : 1,041,906 = 1,041,906 : x
  2. Step 2: Convert to fraction form
    683,372/1,041,906 = 1,041,906/x
  3. Step 3: Cross multiply
    683,372x = 1,041,906 × 1,041,906
  4. Step 4: Simplify right side
    683,372x = 1,085,568,112,836
  5. Step 5: Solve for x
    x = 1,085,568,112,836/683,372
  6. Step 6: Final answer
    x = 1,588,546.37

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.