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Finding the Third Proportional to 428,672 and 931,144

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Solution

The third proportional to 428,672 and 931,144 is: 2,022,593.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,672 : 931,144 = 931,144 : x
  2. Step 2: Convert to fraction form
    428,672/931,144 = 931,144/x
  3. Step 3: Cross multiply
    428,672x = 931,144 × 931,144
  4. Step 4: Simplify right side
    428,672x = 867,029,148,736
  5. Step 5: Solve for x
    x = 867,029,148,736/428,672
  6. Step 6: Final answer
    x = 2,022,593.38

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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.