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Finding the Third Proportional to 982,604.25 and 2,148,504.75

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Solution

The third proportional to 982,604.25 and 2,148,504.75 is: 4,697,794.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,604.25 : 2,148,504.75 = 2,148,504.75 : x
  2. Step 2: Convert to fraction form
    982,604.25/2,148,504.75 = 2,148,504.75/x
  3. Step 3: Cross multiply
    982,604.25x = 2,148,504.75 × 2,148,504.75
  4. Step 4: Simplify right side
    982,604.25x = 4,616,072,660,772.56
  5. Step 5: Solve for x
    x = 4,616,072,660,772.56/982,604.25
  6. Step 6: Final answer
    x = 4,697,794.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.