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Finding the Third Proportional to 471,684 and 1,023,096

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Solution

The third proportional to 471,684 and 1,023,096 is: 2,219,124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,684 : 1,023,096 = 1,023,096 : x
  2. Step 2: Convert to fraction form
    471,684/1,023,096 = 1,023,096/x
  3. Step 3: Cross multiply
    471,684x = 1,023,096 × 1,023,096
  4. Step 4: Simplify right side
    471,684x = 1,046,725,425,216
  5. Step 5: Solve for x
    x = 1,046,725,425,216/471,684
  6. Step 6: Final answer
    x = 2,219,124.30

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.