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Finding the Third Proportional to 840,576.94 and 1,313,352.84

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Solution

The third proportional to 840,576.94 and 1,313,352.84 is: 2,052,037.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,576.94 : 1,313,352.84 = 1,313,352.84 : x
  2. Step 2: Convert to fraction form
    840,576.94/1,313,352.84 = 1,313,352.84/x
  3. Step 3: Cross multiply
    840,576.94x = 1,313,352.84 × 1,313,352.84
  4. Step 4: Simplify right side
    840,576.94x = 1,724,895,692,186.21
  5. Step 5: Solve for x
    x = 1,724,895,692,186.21/840,576.94
  6. Step 6: Final answer
    x = 2,052,037.85

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.