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Finding the Third Proportional to 459,704.25 and 974,697.75

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Solution

The third proportional to 459,704.25 and 974,697.75 is: 2,066,623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,704.25 : 974,697.75 = 974,697.75 : x
  2. Step 2: Convert to fraction form
    459,704.25/974,697.75 = 974,697.75/x
  3. Step 3: Cross multiply
    459,704.25x = 974,697.75 × 974,697.75
  4. Step 4: Simplify right side
    459,704.25x = 950,035,703,855.06
  5. Step 5: Solve for x
    x = 950,035,703,855.06/459,704.25
  6. Step 6: Final answer
    x = 2,066,623.71

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.