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Finding the Third Proportional to 622,638 and 933,958

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Solution

The third proportional to 622,638 and 933,958 is: 1,400,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,638 : 933,958 = 933,958 : x
  2. Step 2: Convert to fraction form
    622,638/933,958 = 933,958/x
  3. Step 3: Cross multiply
    622,638x = 933,958 × 933,958
  4. Step 4: Simplify right side
    622,638x = 872,277,545,764
  5. Step 5: Solve for x
    x = 872,277,545,764/622,638
  6. Step 6: Final answer
    x = 1,400,938.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.