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Finding the Third Proportional to 490,788 and 1,038,163.50

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Solution

The third proportional to 490,788 and 1,038,163.50 is: 2,196,026.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,788 : 1,038,163.50 = 1,038,163.50 : x
  2. Step 2: Convert to fraction form
    490,788/1,038,163.50 = 1,038,163.50/x
  3. Step 3: Cross multiply
    490,788x = 1,038,163.50 × 1,038,163.50
  4. Step 4: Simplify right side
    490,788x = 1,077,783,452,732.25
  5. Step 5: Solve for x
    x = 1,077,783,452,732.25/490,788
  6. Step 6: Final answer
    x = 2,196,026.50

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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.