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Finding the Third Proportional to 622,097 and 1,364,722

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Solution

The third proportional to 622,097 and 1,364,722 is: 2,993,851.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,097 : 1,364,722 = 1,364,722 : x
  2. Step 2: Convert to fraction form
    622,097/1,364,722 = 1,364,722/x
  3. Step 3: Cross multiply
    622,097x = 1,364,722 × 1,364,722
  4. Step 4: Simplify right side
    622,097x = 1,862,466,137,284
  5. Step 5: Solve for x
    x = 1,862,466,137,284/622,097
  6. Step 6: Final answer
    x = 2,993,851.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.