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Finding the Third Proportional to 839,952 and 1,843,212

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Solution

The third proportional to 839,952 and 1,843,212 is: 4,044,791.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,952 : 1,843,212 = 1,843,212 : x
  2. Step 2: Convert to fraction form
    839,952/1,843,212 = 1,843,212/x
  3. Step 3: Cross multiply
    839,952x = 1,843,212 × 1,843,212
  4. Step 4: Simplify right side
    839,952x = 3,397,430,476,944
  5. Step 5: Solve for x
    x = 3,397,430,476,944/839,952
  6. Step 6: Final answer
    x = 4,044,791.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.