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Finding the Third Proportional to 965,117 and 2,079,817

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Solution

The third proportional to 965,117 and 2,079,817 is: 4,481,983.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,117 : 2,079,817 = 2,079,817 : x
  2. Step 2: Convert to fraction form
    965,117/2,079,817 = 2,079,817/x
  3. Step 3: Cross multiply
    965,117x = 2,079,817 × 2,079,817
  4. Step 4: Simplify right side
    965,117x = 4,325,638,753,489
  5. Step 5: Solve for x
    x = 4,325,638,753,489/965,117
  6. Step 6: Final answer
    x = 4,481,983.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.