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Finding the Third Proportional to 451,840 and 965,728

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Solution

The third proportional to 451,840 and 965,728 is: 2,064,072.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,840 : 965,728 = 965,728 : x
  2. Step 2: Convert to fraction form
    451,840/965,728 = 965,728/x
  3. Step 3: Cross multiply
    451,840x = 965,728 × 965,728
  4. Step 4: Simplify right side
    451,840x = 932,630,569,984
  5. Step 5: Solve for x
    x = 932,630,569,984/451,840
  6. Step 6: Final answer
    x = 2,064,072.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.