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Finding the Third Proportional to 1,198,209 and 2,608,011

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Solution

The third proportional to 1,198,209 and 2,608,011 is: 5,676,573.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,209 : 2,608,011 = 2,608,011 : x
  2. Step 2: Convert to fraction form
    1,198,209/2,608,011 = 2,608,011/x
  3. Step 3: Cross multiply
    1,198,209x = 2,608,011 × 2,608,011
  4. Step 4: Simplify right side
    1,198,209x = 6,801,721,376,121
  5. Step 5: Solve for x
    x = 6,801,721,376,121/1,198,209
  6. Step 6: Final answer
    x = 5,676,573.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.