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Finding the Third Proportional to 1,268,966 and 2,747,020

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Solution

The third proportional to 1,268,966 and 2,747,020 is: 5,946,667.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,966 : 2,747,020 = 2,747,020 : x
  2. Step 2: Convert to fraction form
    1,268,966/2,747,020 = 2,747,020/x
  3. Step 3: Cross multiply
    1,268,966x = 2,747,020 × 2,747,020
  4. Step 4: Simplify right side
    1,268,966x = 7,546,118,880,400
  5. Step 5: Solve for x
    x = 7,546,118,880,400/1,268,966
  6. Step 6: Final answer
    x = 5,946,667.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.