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Finding the Third Proportional to 595,344.94 and 1,286,183.81

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Solution

The third proportional to 595,344.94 and 1,286,183.81 is: 2,778,672.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,344.94 : 1,286,183.81 = 1,286,183.81 : x
  2. Step 2: Convert to fraction form
    595,344.94/1,286,183.81 = 1,286,183.81/x
  3. Step 3: Cross multiply
    595,344.94x = 1,286,183.81 × 1,286,183.81
  4. Step 4: Simplify right side
    595,344.94x = 1,654,268,799,537.04
  5. Step 5: Solve for x
    x = 1,654,268,799,537.04/595,344.94
  6. Step 6: Final answer
    x = 2,778,672.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.