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Finding the Third Proportional to 496,079 and 1,086,746

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Solution

The third proportional to 496,079 and 1,086,746 is: 2,380,703.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,079 : 1,086,746 = 1,086,746 : x
  2. Step 2: Convert to fraction form
    496,079/1,086,746 = 1,086,746/x
  3. Step 3: Cross multiply
    496,079x = 1,086,746 × 1,086,746
  4. Step 4: Simplify right side
    496,079x = 1,181,016,868,516
  5. Step 5: Solve for x
    x = 1,181,016,868,516/496,079
  6. Step 6: Final answer
    x = 2,380,703.21

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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.