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Finding the Third Proportional to 471,686 and 1,023,100

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Solution

The third proportional to 471,686 and 1,023,100 is: 2,219,132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,686 : 1,023,100 = 1,023,100 : x
  2. Step 2: Convert to fraction form
    471,686/1,023,100 = 1,023,100/x
  3. Step 3: Cross multiply
    471,686x = 1,023,100 × 1,023,100
  4. Step 4: Simplify right side
    471,686x = 1,046,733,610,000
  5. Step 5: Solve for x
    x = 1,046,733,610,000/471,686
  6. Step 6: Final answer
    x = 2,219,132.24

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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.