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Finding the Third Proportional to 471,172 and 1,025,288

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Solution

The third proportional to 471,172 and 1,025,288 is: 2,231,065.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,172 : 1,025,288 = 1,025,288 : x
  2. Step 2: Convert to fraction form
    471,172/1,025,288 = 1,025,288/x
  3. Step 3: Cross multiply
    471,172x = 1,025,288 × 1,025,288
  4. Step 4: Simplify right side
    471,172x = 1,051,215,482,944
  5. Step 5: Solve for x
    x = 1,051,215,482,944/471,172
  6. Step 6: Final answer
    x = 2,231,065.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.