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Finding the Third Proportional to 1,178 and 2,466

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Solution

The third proportional to 1,178 and 2,466 is: 5,162.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178 : 2,466 = 2,466 : x
  2. Step 2: Convert to fraction form
    1,178/2,466 = 2,466/x
  3. Step 3: Cross multiply
    1,178x = 2,466 × 2,466
  4. Step 4: Simplify right side
    1,178x = 6,081,156
  5. Step 5: Solve for x
    x = 6,081,156/1,178
  6. Step 6: Final answer
    x = 5,162.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.