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Finding the Third Proportional to 1,102,277 and 1,670,021

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Solution

The third proportional to 1,102,277 and 1,670,021 is: 2,530,189.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,277 : 1,670,021 = 1,670,021 : x
  2. Step 2: Convert to fraction form
    1,102,277/1,670,021 = 1,670,021/x
  3. Step 3: Cross multiply
    1,102,277x = 1,670,021 × 1,670,021
  4. Step 4: Simplify right side
    1,102,277x = 2,788,970,140,441
  5. Step 5: Solve for x
    x = 2,788,970,140,441/1,102,277
  6. Step 6: Final answer
    x = 2,530,189.91

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.