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Finding the Third Proportional to 453,084.75 and 975,597.75

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Solution

The third proportional to 453,084.75 and 975,597.75 is: 2,100,690.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,084.75 : 975,597.75 = 975,597.75 : x
  2. Step 2: Convert to fraction form
    453,084.75/975,597.75 = 975,597.75/x
  3. Step 3: Cross multiply
    453,084.75x = 975,597.75 × 975,597.75
  4. Step 4: Simplify right side
    453,084.75x = 951,790,969,805.06
  5. Step 5: Solve for x
    x = 951,790,969,805.06/453,084.75
  6. Step 6: Final answer
    x = 2,100,690.81

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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.