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Finding the Third Proportional to 428,652 and 931,176

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Solution

The third proportional to 428,652 and 931,176 is: 2,022,826.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,652 : 931,176 = 931,176 : x
  2. Step 2: Convert to fraction form
    428,652/931,176 = 931,176/x
  3. Step 3: Cross multiply
    428,652x = 931,176 × 931,176
  4. Step 4: Simplify right side
    428,652x = 867,088,742,976
  5. Step 5: Solve for x
    x = 867,088,742,976/428,652
  6. Step 6: Final answer
    x = 2,022,826.78

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Why These Related Problems?

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