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Finding the Third Proportional to 1,085,745 and 2,144,239

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Solution

The third proportional to 1,085,745 and 2,144,239 is: 4,234,659.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,745 : 2,144,239 = 2,144,239 : x
  2. Step 2: Convert to fraction form
    1,085,745/2,144,239 = 2,144,239/x
  3. Step 3: Cross multiply
    1,085,745x = 2,144,239 × 2,144,239
  4. Step 4: Simplify right side
    1,085,745x = 4,597,760,889,121
  5. Step 5: Solve for x
    x = 4,597,760,889,121/1,085,745
  6. Step 6: Final answer
    x = 4,234,659.97

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.