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Finding the Third Proportional to 649,984 and 1,449,338

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Solution

The third proportional to 649,984 and 1,449,338 is: 3,231,742.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,984 : 1,449,338 = 1,449,338 : x
  2. Step 2: Convert to fraction form
    649,984/1,449,338 = 1,449,338/x
  3. Step 3: Cross multiply
    649,984x = 1,449,338 × 1,449,338
  4. Step 4: Simplify right side
    649,984x = 2,100,580,638,244
  5. Step 5: Solve for x
    x = 2,100,580,638,244/649,984
  6. Step 6: Final answer
    x = 3,231,742.07

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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.