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Finding the Third Proportional to 1,419,648.75 and 3,096,219.75

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Solution

The third proportional to 1,419,648.75 and 3,096,219.75 is: 6,752,780.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,648.75 : 3,096,219.75 = 3,096,219.75 : x
  2. Step 2: Convert to fraction form
    1,419,648.75/3,096,219.75 = 3,096,219.75/x
  3. Step 3: Cross multiply
    1,419,648.75x = 3,096,219.75 × 3,096,219.75
  4. Step 4: Simplify right side
    1,419,648.75x = 9,586,576,740,290.06
  5. Step 5: Solve for x
    x = 9,586,576,740,290.06/1,419,648.75
  6. Step 6: Final answer
    x = 6,752,780.74

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Why These Related Problems?

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