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Finding the Third Proportional to 603,057 and 819,004

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Solution

The third proportional to 603,057 and 819,004 is: 1,112,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,057 : 819,004 = 819,004 : x
  2. Step 2: Convert to fraction form
    603,057/819,004 = 819,004/x
  3. Step 3: Cross multiply
    603,057x = 819,004 × 819,004
  4. Step 4: Simplify right side
    603,057x = 670,767,552,016
  5. Step 5: Solve for x
    x = 670,767,552,016/603,057
  6. Step 6: Final answer
    x = 1,112,278.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.