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Finding the Third Proportional to 982,599.75 and 2,138,195.25

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Solution

The third proportional to 982,599.75 and 2,138,195.25 is: 4,652,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,599.75 : 2,138,195.25 = 2,138,195.25 : x
  2. Step 2: Convert to fraction form
    982,599.75/2,138,195.25 = 2,138,195.25/x
  3. Step 3: Cross multiply
    982,599.75x = 2,138,195.25 × 2,138,195.25
  4. Step 4: Simplify right side
    982,599.75x = 4,571,878,927,122.56
  5. Step 5: Solve for x
    x = 4,571,878,927,122.56/982,599.75
  6. Step 6: Final answer
    x = 4,652,839.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.