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Finding the Third Proportional to 1,204,098 and 1,651,158

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Solution

The third proportional to 1,204,098 and 1,651,158 is: 2,264,203.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,098 : 1,651,158 = 1,651,158 : x
  2. Step 2: Convert to fraction form
    1,204,098/1,651,158 = 1,651,158/x
  3. Step 3: Cross multiply
    1,204,098x = 1,651,158 × 1,651,158
  4. Step 4: Simplify right side
    1,204,098x = 2,726,322,740,964
  5. Step 5: Solve for x
    x = 2,726,322,740,964/1,204,098
  6. Step 6: Final answer
    x = 2,264,203.36

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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.