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Finding the Third Proportional to 781,981.50 and 1,826,941.50

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Solution

The third proportional to 781,981.50 and 1,826,941.50 is: 4,268,279.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,981.50 : 1,826,941.50 = 1,826,941.50 : x
  2. Step 2: Convert to fraction form
    781,981.50/1,826,941.50 = 1,826,941.50/x
  3. Step 3: Cross multiply
    781,981.50x = 1,826,941.50 × 1,826,941.50
  4. Step 4: Simplify right side
    781,981.50x = 3,337,715,244,422.25
  5. Step 5: Solve for x
    x = 3,337,715,244,422.25/781,981.50
  6. Step 6: Final answer
    x = 4,268,279.04

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