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Finding the Third Proportional to 946,736 and 2,045,104

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Solution

The third proportional to 946,736 and 2,045,104 is: 4,417,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,736 : 2,045,104 = 2,045,104 : x
  2. Step 2: Convert to fraction form
    946,736/2,045,104 = 2,045,104/x
  3. Step 3: Cross multiply
    946,736x = 2,045,104 × 2,045,104
  4. Step 4: Simplify right side
    946,736x = 4,182,450,370,816
  5. Step 5: Solve for x
    x = 4,182,450,370,816/946,736
  6. Step 6: Final answer
    x = 4,417,757.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.