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Finding the Third Proportional to 389,898 and 837,814.50

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Solution

The third proportional to 389,898 and 837,814.50 is: 1,800,299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,898 : 837,814.50 = 837,814.50 : x
  2. Step 2: Convert to fraction form
    389,898/837,814.50 = 837,814.50/x
  3. Step 3: Cross multiply
    389,898x = 837,814.50 × 837,814.50
  4. Step 4: Simplify right side
    389,898x = 701,933,136,410.25
  5. Step 5: Solve for x
    x = 701,933,136,410.25/389,898
  6. Step 6: Final answer
    x = 1,800,299.40

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.