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Finding the Third Proportional to 2,742,362 and 5,942,338

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Solution

The third proportional to 2,742,362 and 5,942,338 is: 12,876,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742,362 : 5,942,338 = 5,942,338 : x
  2. Step 2: Convert to fraction form
    2,742,362/5,942,338 = 5,942,338/x
  3. Step 3: Cross multiply
    2,742,362x = 5,942,338 × 5,942,338
  4. Step 4: Simplify right side
    2,742,362x = 35,311,380,906,244
  5. Step 5: Solve for x
    x = 35,311,380,906,244/2,742,362
  6. Step 6: Final answer
    x = 12,876,265.39

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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.