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Finding the Third Proportional to 471,105 and 1,030,215

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Solution

The third proportional to 471,105 and 1,030,215 is: 2,252,879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,105 : 1,030,215 = 1,030,215 : x
  2. Step 2: Convert to fraction form
    471,105/1,030,215 = 1,030,215/x
  3. Step 3: Cross multiply
    471,105x = 1,030,215 × 1,030,215
  4. Step 4: Simplify right side
    471,105x = 1,061,342,946,225
  5. Step 5: Solve for x
    x = 1,061,342,946,225/471,105
  6. Step 6: Final answer
    x = 2,252,879.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.