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Finding the Third Proportional to 541,863 and 804,951

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Solution

The third proportional to 541,863 and 804,951 is: 1,195,774.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,863 : 804,951 = 804,951 : x
  2. Step 2: Convert to fraction form
    541,863/804,951 = 804,951/x
  3. Step 3: Cross multiply
    541,863x = 804,951 × 804,951
  4. Step 4: Simplify right side
    541,863x = 647,946,112,401
  5. Step 5: Solve for x
    x = 647,946,112,401/541,863
  6. Step 6: Final answer
    x = 1,195,774.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.