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Finding the Third Proportional to 902,574 and 1,982,277

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Solution

The third proportional to 902,574 and 1,982,277 is: 4,353,573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,574 : 1,982,277 = 1,982,277 : x
  2. Step 2: Convert to fraction form
    902,574/1,982,277 = 1,982,277/x
  3. Step 3: Cross multiply
    902,574x = 1,982,277 × 1,982,277
  4. Step 4: Simplify right side
    902,574x = 3,929,422,104,729
  5. Step 5: Solve for x
    x = 3,929,422,104,729/902,574
  6. Step 6: Final answer
    x = 4,353,573.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.