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Finding the Third Proportional to 1,400,427 and 2,852,241

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Solution

The third proportional to 1,400,427 and 2,852,241 is: 5,809,141.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400,427 : 2,852,241 = 2,852,241 : x
  2. Step 2: Convert to fraction form
    1,400,427/2,852,241 = 2,852,241/x
  3. Step 3: Cross multiply
    1,400,427x = 2,852,241 × 2,852,241
  4. Step 4: Simplify right side
    1,400,427x = 8,135,278,722,081
  5. Step 5: Solve for x
    x = 8,135,278,722,081/1,400,427
  6. Step 6: Final answer
    x = 5,809,141.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.