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Finding the Third Proportional to 836,020.13 and 1,163,269.69

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Solution

The third proportional to 836,020.13 and 1,163,269.69 is: 1,618,616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,020.13 : 1,163,269.69 = 1,163,269.69 : x
  2. Step 2: Convert to fraction form
    836,020.13/1,163,269.69 = 1,163,269.69/x
  3. Step 3: Cross multiply
    836,020.13x = 1,163,269.69 × 1,163,269.69
  4. Step 4: Simplify right side
    836,020.13x = 1,353,196,365,856.35
  5. Step 5: Solve for x
    x = 1,353,196,365,856.35/836,020.13
  6. Step 6: Final answer
    x = 1,618,616.98

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.