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Finding the Third Proportional to 519,804 and 1,133,622

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Solution

The third proportional to 519,804 and 1,133,622 is: 2,472,275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,804 : 1,133,622 = 1,133,622 : x
  2. Step 2: Convert to fraction form
    519,804/1,133,622 = 1,133,622/x
  3. Step 3: Cross multiply
    519,804x = 1,133,622 × 1,133,622
  4. Step 4: Simplify right side
    519,804x = 1,285,098,838,884
  5. Step 5: Solve for x
    x = 1,285,098,838,884/519,804
  6. Step 6: Final answer
    x = 2,472,275.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.