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Finding the Third Proportional to 451,000 and 972,512

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Solution

The third proportional to 451,000 and 972,512 is: 2,097,072.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,000 : 972,512 = 972,512 : x
  2. Step 2: Convert to fraction form
    451,000/972,512 = 972,512/x
  3. Step 3: Cross multiply
    451,000x = 972,512 × 972,512
  4. Step 4: Simplify right side
    451,000x = 945,779,590,144
  5. Step 5: Solve for x
    x = 945,779,590,144/451,000
  6. Step 6: Final answer
    x = 2,097,072.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.