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Finding the Third Proportional to 474,195 and 1,027,086

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Solution

The third proportional to 474,195 and 1,027,086 is: 2,224,624.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,195 : 1,027,086 = 1,027,086 : x
  2. Step 2: Convert to fraction form
    474,195/1,027,086 = 1,027,086/x
  3. Step 3: Cross multiply
    474,195x = 1,027,086 × 1,027,086
  4. Step 4: Simplify right side
    474,195x = 1,054,905,651,396
  5. Step 5: Solve for x
    x = 1,054,905,651,396/474,195
  6. Step 6: Final answer
    x = 2,224,624.16

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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.