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Finding the Third Proportional to 542,820.38 and 1,160,183.81

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Solution

The third proportional to 542,820.38 and 1,160,183.81 is: 2,479,690.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,820.38 : 1,160,183.81 = 1,160,183.81 : x
  2. Step 2: Convert to fraction form
    542,820.38/1,160,183.81 = 1,160,183.81/x
  3. Step 3: Cross multiply
    542,820.38x = 1,160,183.81 × 1,160,183.81
  4. Step 4: Simplify right side
    542,820.38x = 1,346,026,478,787.04
  5. Step 5: Solve for x
    x = 1,346,026,478,787.04/542,820.38
  6. Step 6: Final answer
    x = 2,479,690.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.