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Finding the Third Proportional to 1,204,896 and 2,608,158

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Solution

The third proportional to 1,204,896 and 2,608,158 is: 5,645,705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,896 : 2,608,158 = 2,608,158 : x
  2. Step 2: Convert to fraction form
    1,204,896/2,608,158 = 2,608,158/x
  3. Step 3: Cross multiply
    1,204,896x = 2,608,158 × 2,608,158
  4. Step 4: Simplify right side
    1,204,896x = 6,802,488,152,964
  5. Step 5: Solve for x
    x = 6,802,488,152,964/1,204,896
  6. Step 6: Final answer
    x = 5,645,705.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.