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Finding the Third Proportional to 453,930.75 and 983,009.25

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Solution

The third proportional to 453,930.75 and 983,009.25 is: 2,128,754.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,930.75 : 983,009.25 = 983,009.25 : x
  2. Step 2: Convert to fraction form
    453,930.75/983,009.25 = 983,009.25/x
  3. Step 3: Cross multiply
    453,930.75x = 983,009.25 × 983,009.25
  4. Step 4: Simplify right side
    453,930.75x = 966,307,185,585.56
  5. Step 5: Solve for x
    x = 966,307,185,585.56/453,930.75
  6. Step 6: Final answer
    x = 2,128,754.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.