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Finding the Third Proportional to 422,722 and 936,590

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Solution

The third proportional to 422,722 and 936,590 is: 2,075,124.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,722 : 936,590 = 936,590 : x
  2. Step 2: Convert to fraction form
    422,722/936,590 = 936,590/x
  3. Step 3: Cross multiply
    422,722x = 936,590 × 936,590
  4. Step 4: Simplify right side
    422,722x = 877,200,828,100
  5. Step 5: Solve for x
    x = 877,200,828,100/422,722
  6. Step 6: Final answer
    x = 2,075,124.62

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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.