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Finding the Third Proportional to 490,833 and 1,040,985

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Solution

The third proportional to 490,833 and 1,040,985 is: 2,207,776.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,833 : 1,040,985 = 1,040,985 : x
  2. Step 2: Convert to fraction form
    490,833/1,040,985 = 1,040,985/x
  3. Step 3: Cross multiply
    490,833x = 1,040,985 × 1,040,985
  4. Step 4: Simplify right side
    490,833x = 1,083,649,770,225
  5. Step 5: Solve for x
    x = 1,083,649,770,225/490,833
  6. Step 6: Final answer
    x = 2,207,776.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.