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Finding the Third Proportional to 821,098.90 and 1,763,567.75

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Solution

The third proportional to 821,098.90 and 1,763,567.75 is: 3,787,815.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,098.90 : 1,763,567.75 = 1,763,567.75 : x
  2. Step 2: Convert to fraction form
    821,098.90/1,763,567.75 = 1,763,567.75/x
  3. Step 3: Cross multiply
    821,098.90x = 1,763,567.75 × 1,763,567.75
  4. Step 4: Simplify right side
    821,098.90x = 3,110,171,222,617.76
  5. Step 5: Solve for x
    x = 3,110,171,222,617.76/821,098.90
  6. Step 6: Final answer
    x = 3,787,815.61

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Why These Related Problems?

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