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Finding the Third Proportional to 763,954 and 1,618,978

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Solution

The third proportional to 763,954 and 1,618,978 is: 3,430,952.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,954 : 1,618,978 = 1,618,978 : x
  2. Step 2: Convert to fraction form
    763,954/1,618,978 = 1,618,978/x
  3. Step 3: Cross multiply
    763,954x = 1,618,978 × 1,618,978
  4. Step 4: Simplify right side
    763,954x = 2,621,089,764,484
  5. Step 5: Solve for x
    x = 2,621,089,764,484/763,954
  6. Step 6: Final answer
    x = 3,430,952.34

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.