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Finding the Third Proportional to 965,121 and 2,079,831

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Solution

The third proportional to 965,121 and 2,079,831 is: 4,482,025.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,121 : 2,079,831 = 2,079,831 : x
  2. Step 2: Convert to fraction form
    965,121/2,079,831 = 2,079,831/x
  3. Step 3: Cross multiply
    965,121x = 2,079,831 × 2,079,831
  4. Step 4: Simplify right side
    965,121x = 4,325,696,988,561
  5. Step 5: Solve for x
    x = 4,325,696,988,561/965,121
  6. Step 6: Final answer
    x = 4,482,025.56

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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.