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Finding the Third Proportional to 640,910 and 1,483,667

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Solution

The third proportional to 640,910 and 1,483,667 is: 3,434,597.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,910 : 1,483,667 = 1,483,667 : x
  2. Step 2: Convert to fraction form
    640,910/1,483,667 = 1,483,667/x
  3. Step 3: Cross multiply
    640,910x = 1,483,667 × 1,483,667
  4. Step 4: Simplify right side
    640,910x = 2,201,267,766,889
  5. Step 5: Solve for x
    x = 2,201,267,766,889/640,910
  6. Step 6: Final answer
    x = 3,434,597.32

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.