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Finding the Third Proportional to 489,912.75 and 1,049,809.50

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Solution

The third proportional to 489,912.75 and 1,049,809.50 is: 2,249,584.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,912.75 : 1,049,809.50 = 1,049,809.50 : x
  2. Step 2: Convert to fraction form
    489,912.75/1,049,809.50 = 1,049,809.50/x
  3. Step 3: Cross multiply
    489,912.75x = 1,049,809.50 × 1,049,809.50
  4. Step 4: Simplify right side
    489,912.75x = 1,102,099,986,290.25
  5. Step 5: Solve for x
    x = 1,102,099,986,290.25/489,912.75
  6. Step 6: Final answer
    x = 2,249,584.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.