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Finding the Third Proportional to 541,021 and 844,283

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Solution

The third proportional to 541,021 and 844,283 is: 1,317,534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,021 : 844,283 = 844,283 : x
  2. Step 2: Convert to fraction form
    541,021/844,283 = 844,283/x
  3. Step 3: Cross multiply
    541,021x = 844,283 × 844,283
  4. Step 4: Simplify right side
    541,021x = 712,813,784,089
  5. Step 5: Solve for x
    x = 712,813,784,089/541,021
  6. Step 6: Final answer
    x = 1,317,534.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.