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Finding the Third Proportional to 535,193 and 1,122,924

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Solution

The third proportional to 535,193 and 1,122,924 is: 2,356,081.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,193 : 1,122,924 = 1,122,924 : x
  2. Step 2: Convert to fraction form
    535,193/1,122,924 = 1,122,924/x
  3. Step 3: Cross multiply
    535,193x = 1,122,924 × 1,122,924
  4. Step 4: Simplify right side
    535,193x = 1,260,958,309,776
  5. Step 5: Solve for x
    x = 1,260,958,309,776/535,193
  6. Step 6: Final answer
    x = 2,356,081.47

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.