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Finding the Third Proportional to 684,667.69 and 1,477,591.88

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Solution

The third proportional to 684,667.69 and 1,477,591.88 is: 3,188,813.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,667.69 : 1,477,591.88 = 1,477,591.88 : x
  2. Step 2: Convert to fraction form
    684,667.69/1,477,591.88 = 1,477,591.88/x
  3. Step 3: Cross multiply
    684,667.69x = 1,477,591.88 × 1,477,591.88
  4. Step 4: Simplify right side
    684,667.69x = 2,183,277,749,066.02
  5. Step 5: Solve for x
    x = 2,183,277,749,066.02/684,667.69
  6. Step 6: Final answer
    x = 3,188,813.77

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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.