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Finding the Third Proportional to 451,846 and 965,740

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Solution

The third proportional to 451,846 and 965,740 is: 2,064,096.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,846 : 965,740 = 965,740 : x
  2. Step 2: Convert to fraction form
    451,846/965,740 = 965,740/x
  3. Step 3: Cross multiply
    451,846x = 965,740 × 965,740
  4. Step 4: Simplify right side
    451,846x = 932,653,747,600
  5. Step 5: Solve for x
    x = 932,653,747,600/451,846
  6. Step 6: Final answer
    x = 2,064,096.50

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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.