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Finding the Third Proportional to 1,109,824 and 1,661,698.50

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Solution

The third proportional to 1,109,824 and 1,661,698.50 is: 2,487,999.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,824 : 1,661,698.50 = 1,661,698.50 : x
  2. Step 2: Convert to fraction form
    1,109,824/1,661,698.50 = 1,661,698.50/x
  3. Step 3: Cross multiply
    1,109,824x = 1,661,698.50 × 1,661,698.50
  4. Step 4: Simplify right side
    1,109,824x = 2,761,241,904,902.25
  5. Step 5: Solve for x
    x = 2,761,241,904,902.25/1,109,824
  6. Step 6: Final answer
    x = 2,487,999.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.