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Finding the Third Proportional to 377,004 and 819,456

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Solution

The third proportional to 377,004 and 819,456 is: 1,781,169.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,004 : 819,456 = 819,456 : x
  2. Step 2: Convert to fraction form
    377,004/819,456 = 819,456/x
  3. Step 3: Cross multiply
    377,004x = 819,456 × 819,456
  4. Step 4: Simplify right side
    377,004x = 671,508,135,936
  5. Step 5: Solve for x
    x = 671,508,135,936/377,004
  6. Step 6: Final answer
    x = 1,781,169.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.