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Finding the Third Proportional to 745,974 and 1,609,884

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Solution

The third proportional to 745,974 and 1,609,884 is: 3,474,285.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,974 : 1,609,884 = 1,609,884 : x
  2. Step 2: Convert to fraction form
    745,974/1,609,884 = 1,609,884/x
  3. Step 3: Cross multiply
    745,974x = 1,609,884 × 1,609,884
  4. Step 4: Simplify right side
    745,974x = 2,591,726,493,456
  5. Step 5: Solve for x
    x = 2,591,726,493,456/745,974
  6. Step 6: Final answer
    x = 3,474,285.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.