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Finding the Third Proportional to 481,783 and 1,071,284

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Solution

The third proportional to 481,783 and 1,071,284 is: 2,382,087.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,783 : 1,071,284 = 1,071,284 : x
  2. Step 2: Convert to fraction form
    481,783/1,071,284 = 1,071,284/x
  3. Step 3: Cross multiply
    481,783x = 1,071,284 × 1,071,284
  4. Step 4: Simplify right side
    481,783x = 1,147,649,408,656
  5. Step 5: Solve for x
    x = 1,147,649,408,656/481,783
  6. Step 6: Final answer
    x = 2,382,087.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.