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Finding the Third Proportional to 935,832 and 1,915,914

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Solution

The third proportional to 935,832 and 1,915,914 is: 3,922,420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,832 : 1,915,914 = 1,915,914 : x
  2. Step 2: Convert to fraction form
    935,832/1,915,914 = 1,915,914/x
  3. Step 3: Cross multiply
    935,832x = 1,915,914 × 1,915,914
  4. Step 4: Simplify right side
    935,832x = 3,670,726,455,396
  5. Step 5: Solve for x
    x = 3,670,726,455,396/935,832
  6. Step 6: Final answer
    x = 3,922,420.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.