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Finding the Third Proportional to 1,204,114 and 1,651,174

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Solution

The third proportional to 1,204,114 and 1,651,174 is: 2,264,217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,114 : 1,651,174 = 1,651,174 : x
  2. Step 2: Convert to fraction form
    1,204,114/1,651,174 = 1,651,174/x
  3. Step 3: Cross multiply
    1,204,114x = 1,651,174 × 1,651,174
  4. Step 4: Simplify right side
    1,204,114x = 2,726,375,578,276
  5. Step 5: Solve for x
    x = 2,726,375,578,276/1,204,114
  6. Step 6: Final answer
    x = 2,264,217.16

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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.