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Finding the Third Proportional to 980,769.50 and 2,111,826.75

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Solution

The third proportional to 980,769.50 and 2,111,826.75 is: 4,547,258.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,769.50 : 2,111,826.75 = 2,111,826.75 : x
  2. Step 2: Convert to fraction form
    980,769.50/2,111,826.75 = 2,111,826.75/x
  3. Step 3: Cross multiply
    980,769.50x = 2,111,826.75 × 2,111,826.75
  4. Step 4: Simplify right side
    980,769.50x = 4,459,812,222,015.56
  5. Step 5: Solve for x
    x = 4,459,812,222,015.56/980,769.50
  6. Step 6: Final answer
    x = 4,547,258.27

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