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Finding the Third Proportional to 1,244,409 and 2,659,404

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Solution

The third proportional to 1,244,409 and 2,659,404 is: 5,683,364.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244,409 : 2,659,404 = 2,659,404 : x
  2. Step 2: Convert to fraction form
    1,244,409/2,659,404 = 2,659,404/x
  3. Step 3: Cross multiply
    1,244,409x = 2,659,404 × 2,659,404
  4. Step 4: Simplify right side
    1,244,409x = 7,072,429,635,216
  5. Step 5: Solve for x
    x = 7,072,429,635,216/1,244,409
  6. Step 6: Final answer
    x = 5,683,364.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.