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Finding the Third Proportional to 676,811 and 1,504,914

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Solution

The third proportional to 676,811 and 1,504,914 is: 3,346,231.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,811 : 1,504,914 = 1,504,914 : x
  2. Step 2: Convert to fraction form
    676,811/1,504,914 = 1,504,914/x
  3. Step 3: Cross multiply
    676,811x = 1,504,914 × 1,504,914
  4. Step 4: Simplify right side
    676,811x = 2,264,766,147,396
  5. Step 5: Solve for x
    x = 2,264,766,147,396/676,811
  6. Step 6: Final answer
    x = 3,346,231.29

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.