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Finding the Third Proportional to 591,674.63 and 1,295,979.75

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Solution

The third proportional to 591,674.63 and 1,295,979.75 is: 2,838,660.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,674.63 : 1,295,979.75 = 1,295,979.75 : x
  2. Step 2: Convert to fraction form
    591,674.63/1,295,979.75 = 1,295,979.75/x
  3. Step 3: Cross multiply
    591,674.63x = 1,295,979.75 × 1,295,979.75
  4. Step 4: Simplify right side
    591,674.63x = 1,679,563,512,410.06
  5. Step 5: Solve for x
    x = 1,679,563,512,410.06/591,674.63
  6. Step 6: Final answer
    x = 2,838,660.71

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