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Finding the Third Proportional to 505,321 and 1,094,736

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Solution

The third proportional to 505,321 and 1,094,736 is: 2,371,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,321 : 1,094,736 = 1,094,736 : x
  2. Step 2: Convert to fraction form
    505,321/1,094,736 = 1,094,736/x
  3. Step 3: Cross multiply
    505,321x = 1,094,736 × 1,094,736
  4. Step 4: Simplify right side
    505,321x = 1,198,446,909,696
  5. Step 5: Solve for x
    x = 1,198,446,909,696/505,321
  6. Step 6: Final answer
    x = 2,371,654.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.