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Finding the Third Proportional to 2,107,586.25 and 4,973,589

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Solution

The third proportional to 2,107,586.25 and 4,973,589 is: 11,736,927.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107,586.25 : 4,973,589 = 4,973,589 : x
  2. Step 2: Convert to fraction form
    2,107,586.25/4,973,589 = 4,973,589/x
  3. Step 3: Cross multiply
    2,107,586.25x = 4,973,589 × 4,973,589
  4. Step 4: Simplify right side
    2,107,586.25x = 24,736,587,540,921
  5. Step 5: Solve for x
    x = 24,736,587,540,921/2,107,586.25
  6. Step 6: Final answer
    x = 11,736,927.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.