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Finding the Third Proportional to 1,204,101 and 1,651,149

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Solution

The third proportional to 1,204,101 and 1,651,149 is: 2,264,173.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,101 : 1,651,149 = 1,651,149 : x
  2. Step 2: Convert to fraction form
    1,204,101/1,651,149 = 1,651,149/x
  3. Step 3: Cross multiply
    1,204,101x = 1,651,149 × 1,651,149
  4. Step 4: Simplify right side
    1,204,101x = 2,726,293,020,201
  5. Step 5: Solve for x
    x = 2,726,293,020,201/1,204,101
  6. Step 6: Final answer
    x = 2,264,173.04

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.