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Finding the Third Proportional to 471,138 and 967,224

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Solution

The third proportional to 471,138 and 967,224 is: 1,985,665.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,138 : 967,224 = 967,224 : x
  2. Step 2: Convert to fraction form
    471,138/967,224 = 967,224/x
  3. Step 3: Cross multiply
    471,138x = 967,224 × 967,224
  4. Step 4: Simplify right side
    471,138x = 935,522,266,176
  5. Step 5: Solve for x
    x = 935,522,266,176/471,138
  6. Step 6: Final answer
    x = 1,985,665.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.