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Finding the Third Proportional to 965,996 and 2,122,288

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Solution

The third proportional to 965,996 and 2,122,288 is: 4,662,655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,996 : 2,122,288 = 2,122,288 : x
  2. Step 2: Convert to fraction form
    965,996/2,122,288 = 2,122,288/x
  3. Step 3: Cross multiply
    965,996x = 2,122,288 × 2,122,288
  4. Step 4: Simplify right side
    965,996x = 4,504,106,354,944
  5. Step 5: Solve for x
    x = 4,504,106,354,944/965,996
  6. Step 6: Final answer
    x = 4,662,655.29

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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.