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Finding the Third Proportional to 490,785.75 and 1,038,158.44

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Solution

The third proportional to 490,785.75 and 1,038,158.44 is: 2,196,015.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,785.75 : 1,038,158.44 = 1,038,158.44 : x
  2. Step 2: Convert to fraction form
    490,785.75/1,038,158.44 = 1,038,158.44/x
  3. Step 3: Cross multiply
    490,785.75x = 1,038,158.44 × 1,038,158.44
  4. Step 4: Simplify right side
    490,785.75x = 1,077,772,941,352.44
  5. Step 5: Solve for x
    x = 1,077,772,941,352.44/490,785.75
  6. Step 6: Final answer
    x = 2,196,015.15

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.