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Finding the Third Proportional to 965,098 and 2,120,546

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Solution

The third proportional to 965,098 and 2,120,546 is: 4,659,335.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,098 : 2,120,546 = 2,120,546 : x
  2. Step 2: Convert to fraction form
    965,098/2,120,546 = 2,120,546/x
  3. Step 3: Cross multiply
    965,098x = 2,120,546 × 2,120,546
  4. Step 4: Simplify right side
    965,098x = 4,496,715,338,116
  5. Step 5: Solve for x
    x = 4,496,715,338,116/965,098
  6. Step 6: Final answer
    x = 4,659,335.46

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.