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Finding the Third Proportional to 453,606.75 and 974,454.75

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Solution

The third proportional to 453,606.75 and 974,454.75 is: 2,093,359.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,606.75 : 974,454.75 = 974,454.75 : x
  2. Step 2: Convert to fraction form
    453,606.75/974,454.75 = 974,454.75/x
  3. Step 3: Cross multiply
    453,606.75x = 974,454.75 × 974,454.75
  4. Step 4: Simplify right side
    453,606.75x = 949,562,059,797.56
  5. Step 5: Solve for x
    x = 949,562,059,797.56/453,606.75
  6. Step 6: Final answer
    x = 2,093,359.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.