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Finding the Third Proportional to 839,284 and 1,331,006

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Solution

The third proportional to 839,284 and 1,331,006 is: 2,110,819.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,284 : 1,331,006 = 1,331,006 : x
  2. Step 2: Convert to fraction form
    839,284/1,331,006 = 1,331,006/x
  3. Step 3: Cross multiply
    839,284x = 1,331,006 × 1,331,006
  4. Step 4: Simplify right side
    839,284x = 1,771,576,972,036
  5. Step 5: Solve for x
    x = 1,771,576,972,036/839,284
  6. Step 6: Final answer
    x = 2,110,819.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.