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Finding the Third Proportional to 842,694 and 1,843,041

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Solution

The third proportional to 842,694 and 1,843,041 is: 4,030,882.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,694 : 1,843,041 = 1,843,041 : x
  2. Step 2: Convert to fraction form
    842,694/1,843,041 = 1,843,041/x
  3. Step 3: Cross multiply
    842,694x = 1,843,041 × 1,843,041
  4. Step 4: Simplify right side
    842,694x = 3,396,800,127,681
  5. Step 5: Solve for x
    x = 3,396,800,127,681/842,694
  6. Step 6: Final answer
    x = 4,030,882.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.