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Finding the Third Proportional to 1,471,608 and 2,086,884

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Solution

The third proportional to 1,471,608 and 2,086,884 is: 2,959,405.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471,608 : 2,086,884 = 2,086,884 : x
  2. Step 2: Convert to fraction form
    1,471,608/2,086,884 = 2,086,884/x
  3. Step 3: Cross multiply
    1,471,608x = 2,086,884 × 2,086,884
  4. Step 4: Simplify right side
    1,471,608x = 4,355,084,829,456
  5. Step 5: Solve for x
    x = 4,355,084,829,456/1,471,608
  6. Step 6: Final answer
    x = 2,959,405.51

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.