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Finding the Third Proportional to 471,206 and 982,156

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Solution

The third proportional to 471,206 and 982,156 is: 2,047,152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,206 : 982,156 = 982,156 : x
  2. Step 2: Convert to fraction form
    471,206/982,156 = 982,156/x
  3. Step 3: Cross multiply
    471,206x = 982,156 × 982,156
  4. Step 4: Simplify right side
    471,206x = 964,630,408,336
  5. Step 5: Solve for x
    x = 964,630,408,336/471,206
  6. Step 6: Final answer
    x = 2,047,152.22

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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.