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Finding the Third Proportional to 1,659,497.31 and 2,562,954.70

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Solution

The third proportional to 1,659,497.31 and 2,562,954.70 is: 3,958,269.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659,497.31 : 2,562,954.70 = 2,562,954.70 : x
  2. Step 2: Convert to fraction form
    1,659,497.31/2,562,954.70 = 2,562,954.70/x
  3. Step 3: Cross multiply
    1,659,497.31x = 2,562,954.70 × 2,562,954.70
  4. Step 4: Simplify right side
    1,659,497.31x = 6,568,736,780,235.80
  5. Step 5: Solve for x
    x = 6,568,736,780,235.80/1,659,497.31
  6. Step 6: Final answer
    x = 3,958,269.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.