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Finding the Third Proportional to 675,615 and 1,468,050

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Solution

The third proportional to 675,615 and 1,468,050 is: 3,189,939.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,615 : 1,468,050 = 1,468,050 : x
  2. Step 2: Convert to fraction form
    675,615/1,468,050 = 1,468,050/x
  3. Step 3: Cross multiply
    675,615x = 1,468,050 × 1,468,050
  4. Step 4: Simplify right side
    675,615x = 2,155,170,802,500
  5. Step 5: Solve for x
    x = 2,155,170,802,500/675,615
  6. Step 6: Final answer
    x = 3,189,939.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.