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Finding the Third Proportional to 830,736 and 1,787,832

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Solution

The third proportional to 830,736 and 1,787,832 is: 3,847,604.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,736 : 1,787,832 = 1,787,832 : x
  2. Step 2: Convert to fraction form
    830,736/1,787,832 = 1,787,832/x
  3. Step 3: Cross multiply
    830,736x = 1,787,832 × 1,787,832
  4. Step 4: Simplify right side
    830,736x = 3,196,343,260,224
  5. Step 5: Solve for x
    x = 3,196,343,260,224/830,736
  6. Step 6: Final answer
    x = 3,847,604.12

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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.