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Finding the Third Proportional to 2,409,984 and 5,193,504

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Solution

The third proportional to 2,409,984 and 5,193,504 is: 11,191,976.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409,984 : 5,193,504 = 5,193,504 : x
  2. Step 2: Convert to fraction form
    2,409,984/5,193,504 = 5,193,504/x
  3. Step 3: Cross multiply
    2,409,984x = 5,193,504 × 5,193,504
  4. Step 4: Simplify right side
    2,409,984x = 26,972,483,798,016
  5. Step 5: Solve for x
    x = 26,972,483,798,016/2,409,984
  6. Step 6: Final answer
    x = 11,191,976.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.