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Finding the Third Proportional to 1,261,912 and 2,752,199

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Solution

The third proportional to 1,261,912 and 2,752,199 is: 6,002,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261,912 : 2,752,199 = 2,752,199 : x
  2. Step 2: Convert to fraction form
    1,261,912/2,752,199 = 2,752,199/x
  3. Step 3: Cross multiply
    1,261,912x = 2,752,199 × 2,752,199
  4. Step 4: Simplify right side
    1,261,912x = 7,574,599,335,601
  5. Step 5: Solve for x
    x = 7,574,599,335,601/1,261,912
  6. Step 6: Final answer
    x = 6,002,478.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.