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Finding the Third Proportional to 1,438,704.28 and 3,147,896.04

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Solution

The third proportional to 1,438,704.28 and 3,147,896.04 is: 6,887,620.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438,704.28 : 3,147,896.04 = 3,147,896.04 : x
  2. Step 2: Convert to fraction form
    1,438,704.28/3,147,896.04 = 3,147,896.04/x
  3. Step 3: Cross multiply
    1,438,704.28x = 3,147,896.04 × 3,147,896.04
  4. Step 4: Simplify right side
    1,438,704.28x = 9,909,249,472,745.38
  5. Step 5: Solve for x
    x = 9,909,249,472,745.38/1,438,704.28
  6. Step 6: Final answer
    x = 6,887,620.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.