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Finding the Third Proportional to 453,597.75 and 974,436.75

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Solution

The third proportional to 453,597.75 and 974,436.75 is: 2,093,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,597.75 : 974,436.75 = 974,436.75 : x
  2. Step 2: Convert to fraction form
    453,597.75/974,436.75 = 974,436.75/x
  3. Step 3: Cross multiply
    453,597.75x = 974,436.75 × 974,436.75
  4. Step 4: Simplify right side
    453,597.75x = 949,526,979,750.56
  5. Step 5: Solve for x
    x = 949,526,979,750.56/453,597.75
  6. Step 6: Final answer
    x = 2,093,323.83

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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.