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Finding the Third Proportional to 809,679.80 and 1,731,450.94

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Solution

The third proportional to 809,679.80 and 1,731,450.94 is: 3,702,602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,679.80 : 1,731,450.94 = 1,731,450.94 : x
  2. Step 2: Convert to fraction form
    809,679.80/1,731,450.94 = 1,731,450.94/x
  3. Step 3: Cross multiply
    809,679.80x = 1,731,450.94 × 1,731,450.94
  4. Step 4: Simplify right side
    809,679.80x = 2,997,922,348,969.63
  5. Step 5: Solve for x
    x = 2,997,922,348,969.63/809,679.80
  6. Step 6: Final answer
    x = 3,702,602.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.