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Finding the Third Proportional to 980,804 and 2,068,096

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Solution

The third proportional to 980,804 and 2,068,096 is: 4,360,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,804 : 2,068,096 = 2,068,096 : x
  2. Step 2: Convert to fraction form
    980,804/2,068,096 = 2,068,096/x
  3. Step 3: Cross multiply
    980,804x = 2,068,096 × 2,068,096
  4. Step 4: Simplify right side
    980,804x = 4,277,021,065,216
  5. Step 5: Solve for x
    x = 4,277,021,065,216/980,804
  6. Step 6: Final answer
    x = 4,360,729.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.