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Finding the Third Proportional to 650,004 and 1,449,380

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Solution

The third proportional to 650,004 and 1,449,380 is: 3,231,829.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,004 : 1,449,380 = 1,449,380 : x
  2. Step 2: Convert to fraction form
    650,004/1,449,380 = 1,449,380/x
  3. Step 3: Cross multiply
    650,004x = 1,449,380 × 1,449,380
  4. Step 4: Simplify right side
    650,004x = 2,100,702,384,400
  5. Step 5: Solve for x
    x = 2,100,702,384,400/650,004
  6. Step 6: Final answer
    x = 3,231,829.93

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.