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Finding the Third Proportional to 843,231 and 1,321,323

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Solution

The third proportional to 843,231 and 1,321,323 is: 2,070,481.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,231 : 1,321,323 = 1,321,323 : x
  2. Step 2: Convert to fraction form
    843,231/1,321,323 = 1,321,323/x
  3. Step 3: Cross multiply
    843,231x = 1,321,323 × 1,321,323
  4. Step 4: Simplify right side
    843,231x = 1,745,894,470,329
  5. Step 5: Solve for x
    x = 1,745,894,470,329/843,231
  6. Step 6: Final answer
    x = 2,070,481.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.