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Finding the Third Proportional to 980,408.18 and 1,498,675.92

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Solution

The third proportional to 980,408.18 and 1,498,675.92 is: 2,290,912.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,408.18 : 1,498,675.92 = 1,498,675.92 : x
  2. Step 2: Convert to fraction form
    980,408.18/1,498,675.92 = 1,498,675.92/x
  3. Step 3: Cross multiply
    980,408.18x = 1,498,675.92 × 1,498,675.92
  4. Step 4: Simplify right side
    980,408.18x = 2,246,029,518,807.88
  5. Step 5: Solve for x
    x = 2,246,029,518,807.88/980,408.18
  6. Step 6: Final answer
    x = 2,290,912.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.