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Finding the Third Proportional to 1,420,422.75 and 3,040,269.75

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Solution

The third proportional to 1,420,422.75 and 3,040,269.75 is: 6,507,386.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420,422.75 : 3,040,269.75 = 3,040,269.75 : x
  2. Step 2: Convert to fraction form
    1,420,422.75/3,040,269.75 = 3,040,269.75/x
  3. Step 3: Cross multiply
    1,420,422.75x = 3,040,269.75 × 3,040,269.75
  4. Step 4: Simplify right side
    1,420,422.75x = 9,243,240,152,765.06
  5. Step 5: Solve for x
    x = 9,243,240,152,765.06/1,420,422.75
  6. Step 6: Final answer
    x = 6,507,386.73

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.