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Finding the Third Proportional to 362,634 and 789,786

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Solution

The third proportional to 362,634 and 789,786 is: 1,720,086.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,634 : 789,786 = 789,786 : x
  2. Step 2: Convert to fraction form
    362,634/789,786 = 789,786/x
  3. Step 3: Cross multiply
    362,634x = 789,786 × 789,786
  4. Step 4: Simplify right side
    362,634x = 623,761,925,796
  5. Step 5: Solve for x
    x = 623,761,925,796/362,634
  6. Step 6: Final answer
    x = 1,720,086.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.