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Finding the Third Proportional to 409,245.75 and 860,873.06

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Solution

The third proportional to 409,245.75 and 860,873.06 is: 1,810,898.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,245.75 : 860,873.06 = 860,873.06 : x
  2. Step 2: Convert to fraction form
    409,245.75/860,873.06 = 860,873.06/x
  3. Step 3: Cross multiply
    409,245.75x = 860,873.06 × 860,873.06
  4. Step 4: Simplify right side
    409,245.75x = 741,102,429,738.13
  5. Step 5: Solve for x
    x = 741,102,429,738.13/409,245.75
  6. Step 6: Final answer
    x = 1,810,898.29

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.