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Finding the Third Proportional to 541,022 and 844,286

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Solution

The third proportional to 541,022 and 844,286 is: 1,317,541.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,022 : 844,286 = 844,286 : x
  2. Step 2: Convert to fraction form
    541,022/844,286 = 844,286/x
  3. Step 3: Cross multiply
    541,022x = 844,286 × 844,286
  4. Step 4: Simplify right side
    541,022x = 712,818,849,796
  5. Step 5: Solve for x
    x = 712,818,849,796/541,022
  6. Step 6: Final answer
    x = 1,317,541.34

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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.