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Finding the Third Proportional to 492,723 and 933,924

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Solution

The third proportional to 492,723 and 933,924 is: 1,770,191.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,723 : 933,924 = 933,924 : x
  2. Step 2: Convert to fraction form
    492,723/933,924 = 933,924/x
  3. Step 3: Cross multiply
    492,723x = 933,924 × 933,924
  4. Step 4: Simplify right side
    492,723x = 872,214,037,776
  5. Step 5: Solve for x
    x = 872,214,037,776/492,723
  6. Step 6: Final answer
    x = 1,770,191.44

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.