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Finding the Third Proportional to 496,196 and 1,086,954

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Solution

The third proportional to 496,196 and 1,086,954 is: 2,381,053.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,196 : 1,086,954 = 1,086,954 : x
  2. Step 2: Convert to fraction form
    496,196/1,086,954 = 1,086,954/x
  3. Step 3: Cross multiply
    496,196x = 1,086,954 × 1,086,954
  4. Step 4: Simplify right side
    496,196x = 1,181,468,998,116
  5. Step 5: Solve for x
    x = 1,181,468,998,116/496,196
  6. Step 6: Final answer
    x = 2,381,053.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.