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Finding the Third Proportional to 428,674 and 931,148

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Solution

The third proportional to 428,674 and 931,148 is: 2,022,601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,674 : 931,148 = 931,148 : x
  2. Step 2: Convert to fraction form
    428,674/931,148 = 931,148/x
  3. Step 3: Cross multiply
    428,674x = 931,148 × 931,148
  4. Step 4: Simplify right side
    428,674x = 867,036,597,904
  5. Step 5: Solve for x
    x = 867,036,597,904/428,674
  6. Step 6: Final answer
    x = 2,022,601.32

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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.