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Finding the Third Proportional to 1,428,884.50 and 3,082,115.25

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Solution

The third proportional to 1,428,884.50 and 3,082,115.25 is: 6,648,147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,884.50 : 3,082,115.25 = 3,082,115.25 : x
  2. Step 2: Convert to fraction form
    1,428,884.50/3,082,115.25 = 3,082,115.25/x
  3. Step 3: Cross multiply
    1,428,884.50x = 3,082,115.25 × 3,082,115.25
  4. Step 4: Simplify right side
    1,428,884.50x = 9,499,434,414,282.56
  5. Step 5: Solve for x
    x = 9,499,434,414,282.56/1,428,884.50
  6. Step 6: Final answer
    x = 6,648,147.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.