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Finding the Third Proportional to 1,334,839 and 2,764,309

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Solution

The third proportional to 1,334,839 and 2,764,309 is: 5,724,588.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334,839 : 2,764,309 = 2,764,309 : x
  2. Step 2: Convert to fraction form
    1,334,839/2,764,309 = 2,764,309/x
  3. Step 3: Cross multiply
    1,334,839x = 2,764,309 × 2,764,309
  4. Step 4: Simplify right side
    1,334,839x = 7,641,404,247,481
  5. Step 5: Solve for x
    x = 7,641,404,247,481/1,334,839
  6. Step 6: Final answer
    x = 5,724,588.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.