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Finding the Third Proportional to 809,969.63 and 1,735,215.75

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Solution

The third proportional to 809,969.63 and 1,735,215.75 is: 3,717,390.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,969.63 : 1,735,215.75 = 1,735,215.75 : x
  2. Step 2: Convert to fraction form
    809,969.63/1,735,215.75 = 1,735,215.75/x
  3. Step 3: Cross multiply
    809,969.63x = 1,735,215.75 × 1,735,215.75
  4. Step 4: Simplify right side
    809,969.63x = 3,010,973,699,048.06
  5. Step 5: Solve for x
    x = 3,010,973,699,048.06/809,969.63
  6. Step 6: Final answer
    x = 3,717,390.88

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