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Finding the Third Proportional to 610,635 and 1,322,916

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Solution

The third proportional to 610,635 and 1,322,916 is: 2,866,043.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,635 : 1,322,916 = 1,322,916 : x
  2. Step 2: Convert to fraction form
    610,635/1,322,916 = 1,322,916/x
  3. Step 3: Cross multiply
    610,635x = 1,322,916 × 1,322,916
  4. Step 4: Simplify right side
    610,635x = 1,750,106,743,056
  5. Step 5: Solve for x
    x = 1,750,106,743,056/610,635
  6. Step 6: Final answer
    x = 2,866,043.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.