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Finding the Third Proportional to 447,686 and 974,086

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Solution

The third proportional to 447,686 and 974,086 is: 2,119,439.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,686 : 974,086 = 974,086 : x
  2. Step 2: Convert to fraction form
    447,686/974,086 = 974,086/x
  3. Step 3: Cross multiply
    447,686x = 974,086 × 974,086
  4. Step 4: Simplify right side
    447,686x = 948,843,535,396
  5. Step 5: Solve for x
    x = 948,843,535,396/447,686
  6. Step 6: Final answer
    x = 2,119,439.82

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Why These Related Problems?

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