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Finding the Third Proportional to 490,622 and 1,012,590

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Solution

The third proportional to 490,622 and 1,012,590 is: 2,089,874.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,622 : 1,012,590 = 1,012,590 : x
  2. Step 2: Convert to fraction form
    490,622/1,012,590 = 1,012,590/x
  3. Step 3: Cross multiply
    490,622x = 1,012,590 × 1,012,590
  4. Step 4: Simplify right side
    490,622x = 1,025,338,508,100
  5. Step 5: Solve for x
    x = 1,025,338,508,100/490,622
  6. Step 6: Final answer
    x = 2,089,874.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.