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Finding the Third Proportional to 471,690 and 1,023,108

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Solution

The third proportional to 471,690 and 1,023,108 is: 2,219,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,690 : 1,023,108 = 1,023,108 : x
  2. Step 2: Convert to fraction form
    471,690/1,023,108 = 1,023,108/x
  3. Step 3: Cross multiply
    471,690x = 1,023,108 × 1,023,108
  4. Step 4: Simplify right side
    471,690x = 1,046,749,979,664
  5. Step 5: Solve for x
    x = 1,046,749,979,664/471,690
  6. Step 6: Final answer
    x = 2,219,148.13

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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.