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Finding the Third Proportional to 391,554 and 834,321

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Solution

The third proportional to 391,554 and 834,321 is: 1,777,766.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,554 : 834,321 = 834,321 : x
  2. Step 2: Convert to fraction form
    391,554/834,321 = 834,321/x
  3. Step 3: Cross multiply
    391,554x = 834,321 × 834,321
  4. Step 4: Simplify right side
    391,554x = 696,091,531,041
  5. Step 5: Solve for x
    x = 696,091,531,041/391,554
  6. Step 6: Final answer
    x = 1,777,766.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.