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Finding the Third Proportional to 426,446.44 and 927,626.63

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Solution

The third proportional to 426,446.44 and 927,626.63 is: 2,017,817.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,446.44 : 927,626.63 = 927,626.63 : x
  2. Step 2: Convert to fraction form
    426,446.44/927,626.63 = 927,626.63/x
  3. Step 3: Cross multiply
    426,446.44x = 927,626.63 × 927,626.63
  4. Step 4: Simplify right side
    426,446.44x = 860,491,155,408.89
  5. Step 5: Solve for x
    x = 860,491,155,408.89/426,446.44
  6. Step 6: Final answer
    x = 2,017,817.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.