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Finding the Third Proportional to 471,212 and 982,168

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Solution

The third proportional to 471,212 and 982,168 is: 2,047,176.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,212 : 982,168 = 982,168 : x
  2. Step 2: Convert to fraction form
    471,212/982,168 = 982,168/x
  3. Step 3: Cross multiply
    471,212x = 982,168 × 982,168
  4. Step 4: Simplify right side
    471,212x = 964,653,980,224
  5. Step 5: Solve for x
    x = 964,653,980,224/471,212
  6. Step 6: Final answer
    x = 2,047,176.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.