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Finding the Third Proportional to 598,622 and 874,590

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Solution

The third proportional to 598,622 and 874,590 is: 1,277,780.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,622 : 874,590 = 874,590 : x
  2. Step 2: Convert to fraction form
    598,622/874,590 = 874,590/x
  3. Step 3: Cross multiply
    598,622x = 874,590 × 874,590
  4. Step 4: Simplify right side
    598,622x = 764,907,668,100
  5. Step 5: Solve for x
    x = 764,907,668,100/598,622
  6. Step 6: Final answer
    x = 1,277,780.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.