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Finding the Third Proportional to 2,322,969.89 and 4,982,134.08

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Solution

The third proportional to 2,322,969.89 and 4,982,134.08 is: 10,685,312.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322,969.89 : 4,982,134.08 = 4,982,134.08 : x
  2. Step 2: Convert to fraction form
    2,322,969.89/4,982,134.08 = 4,982,134.08/x
  3. Step 3: Cross multiply
    2,322,969.89x = 4,982,134.08 × 4,982,134.08
  4. Step 4: Simplify right side
    2,322,969.89x = 24,821,659,972,414.45
  5. Step 5: Solve for x
    x = 24,821,659,972,414.45/2,322,969.89
  6. Step 6: Final answer
    x = 10,685,312.83

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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.