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Finding the Third Proportional to 489,512 and 1,037,749

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Solution

The third proportional to 489,512 and 1,037,749 is: 2,199,993.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,512 : 1,037,749 = 1,037,749 : x
  2. Step 2: Convert to fraction form
    489,512/1,037,749 = 1,037,749/x
  3. Step 3: Cross multiply
    489,512x = 1,037,749 × 1,037,749
  4. Step 4: Simplify right side
    489,512x = 1,076,922,987,001
  5. Step 5: Solve for x
    x = 1,076,922,987,001/489,512
  6. Step 6: Final answer
    x = 2,199,993.03

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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.