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Finding the Third Proportional to 618,212.75 and 1,302,845.50

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Solution

The third proportional to 618,212.75 and 1,302,845.50 is: 2,745,667.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,212.75 : 1,302,845.50 = 1,302,845.50 : x
  2. Step 2: Convert to fraction form
    618,212.75/1,302,845.50 = 1,302,845.50/x
  3. Step 3: Cross multiply
    618,212.75x = 1,302,845.50 × 1,302,845.50
  4. Step 4: Simplify right side
    618,212.75x = 1,697,406,396,870.25
  5. Step 5: Solve for x
    x = 1,697,406,396,870.25/618,212.75
  6. Step 6: Final answer
    x = 2,745,667.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.