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Finding the Third Proportional to 982,371 and 2,171,214

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Solution

The third proportional to 982,371 and 2,171,214 is: 4,798,767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,371 : 2,171,214 = 2,171,214 : x
  2. Step 2: Convert to fraction form
    982,371/2,171,214 = 2,171,214/x
  3. Step 3: Cross multiply
    982,371x = 2,171,214 × 2,171,214
  4. Step 4: Simplify right side
    982,371x = 4,714,170,233,796
  5. Step 5: Solve for x
    x = 4,714,170,233,796/982,371
  6. Step 6: Final answer
    x = 4,798,767.71

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.