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Finding the Third Proportional to 1,278,335.25 and 2,959,638.75

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Solution

The third proportional to 1,278,335.25 and 2,959,638.75 is: 6,852,241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278,335.25 : 2,959,638.75 = 2,959,638.75 : x
  2. Step 2: Convert to fraction form
    1,278,335.25/2,959,638.75 = 2,959,638.75/x
  3. Step 3: Cross multiply
    1,278,335.25x = 2,959,638.75 × 2,959,638.75
  4. Step 4: Simplify right side
    1,278,335.25x = 8,759,461,530,501.56
  5. Step 5: Solve for x
    x = 8,759,461,530,501.56/1,278,335.25
  6. Step 6: Final answer
    x = 6,852,241.25

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.