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Finding the Third Proportional to 618,174 and 1,302,767

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Solution

The third proportional to 618,174 and 1,302,767 is: 2,745,508.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,174 : 1,302,767 = 1,302,767 : x
  2. Step 2: Convert to fraction form
    618,174/1,302,767 = 1,302,767/x
  3. Step 3: Cross multiply
    618,174x = 1,302,767 × 1,302,767
  4. Step 4: Simplify right side
    618,174x = 1,697,201,856,289
  5. Step 5: Solve for x
    x = 1,697,201,856,289/618,174
  6. Step 6: Final answer
    x = 2,745,508.31

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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.