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Finding the Third Proportional to 462,594.38 and 986,262.75

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Solution

The third proportional to 462,594.38 and 986,262.75 is: 2,102,736.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,594.38 : 986,262.75 = 986,262.75 : x
  2. Step 2: Convert to fraction form
    462,594.38/986,262.75 = 986,262.75/x
  3. Step 3: Cross multiply
    462,594.38x = 986,262.75 × 986,262.75
  4. Step 4: Simplify right side
    462,594.38x = 972,714,212,037.56
  5. Step 5: Solve for x
    x = 972,714,212,037.56/462,594.38
  6. Step 6: Final answer
    x = 2,102,736.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.