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Finding the Third Proportional to 950,817 and 2,088,234

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Solution

The third proportional to 950,817 and 2,088,234 is: 4,586,288.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,817 : 2,088,234 = 2,088,234 : x
  2. Step 2: Convert to fraction form
    950,817/2,088,234 = 2,088,234/x
  3. Step 3: Cross multiply
    950,817x = 2,088,234 × 2,088,234
  4. Step 4: Simplify right side
    950,817x = 4,360,721,238,756
  5. Step 5: Solve for x
    x = 4,360,721,238,756/950,817
  6. Step 6: Final answer
    x = 4,586,288.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.