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Finding the Third Proportional to 459,996.75 and 1,074,471.75

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Solution

The third proportional to 459,996.75 and 1,074,471.75 is: 2,509,777.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,996.75 : 1,074,471.75 = 1,074,471.75 : x
  2. Step 2: Convert to fraction form
    459,996.75/1,074,471.75 = 1,074,471.75/x
  3. Step 3: Cross multiply
    459,996.75x = 1,074,471.75 × 1,074,471.75
  4. Step 4: Simplify right side
    459,996.75x = 1,154,489,541,548.06
  5. Step 5: Solve for x
    x = 1,154,489,541,548.06/459,996.75
  6. Step 6: Final answer
    x = 2,509,777.61

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.