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Finding the Third Proportional to 781,944.75 and 1,826,842.50

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Solution

The third proportional to 781,944.75 and 1,826,842.50 is: 4,268,017.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,944.75 : 1,826,842.50 = 1,826,842.50 : x
  2. Step 2: Convert to fraction form
    781,944.75/1,826,842.50 = 1,826,842.50/x
  3. Step 3: Cross multiply
    781,944.75x = 1,826,842.50 × 1,826,842.50
  4. Step 4: Simplify right side
    781,944.75x = 3,337,353,519,806.25
  5. Step 5: Solve for x
    x = 3,337,353,519,806.25/781,944.75
  6. Step 6: Final answer
    x = 4,268,017.04

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.