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Finding the Third Proportional to 618,168 and 1,302,756

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Solution

The third proportional to 618,168 and 1,302,756 is: 2,745,488.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,168 : 1,302,756 = 1,302,756 : x
  2. Step 2: Convert to fraction form
    618,168/1,302,756 = 1,302,756/x
  3. Step 3: Cross multiply
    618,168x = 1,302,756 × 1,302,756
  4. Step 4: Simplify right side
    618,168x = 1,697,173,195,536
  5. Step 5: Solve for x
    x = 1,697,173,195,536/618,168
  6. Step 6: Final answer
    x = 2,745,488.60

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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.