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Finding the Third Proportional to 618,200 and 1,318,056

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Solution

The third proportional to 618,200 and 1,318,056 is: 2,810,209.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,200 : 1,318,056 = 1,318,056 : x
  2. Step 2: Convert to fraction form
    618,200/1,318,056 = 1,318,056/x
  3. Step 3: Cross multiply
    618,200x = 1,318,056 × 1,318,056
  4. Step 4: Simplify right side
    618,200x = 1,737,271,619,136
  5. Step 5: Solve for x
    x = 1,737,271,619,136/618,200
  6. Step 6: Final answer
    x = 2,810,209.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.