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Finding the Third Proportional to 456,302 and 941,512

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Solution

The third proportional to 456,302 and 941,512 is: 1,942,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,302 : 941,512 = 941,512 : x
  2. Step 2: Convert to fraction form
    456,302/941,512 = 941,512/x
  3. Step 3: Cross multiply
    456,302x = 941,512 × 941,512
  4. Step 4: Simplify right side
    456,302x = 886,444,846,144
  5. Step 5: Solve for x
    x = 886,444,846,144/456,302
  6. Step 6: Final answer
    x = 1,942,671.40

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.