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Finding the Third Proportional to 933,001 and 1,965,611

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Solution

The third proportional to 933,001 and 1,965,611 is: 4,141,074.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,001 : 1,965,611 = 1,965,611 : x
  2. Step 2: Convert to fraction form
    933,001/1,965,611 = 1,965,611/x
  3. Step 3: Cross multiply
    933,001x = 1,965,611 × 1,965,611
  4. Step 4: Simplify right side
    933,001x = 3,863,626,603,321
  5. Step 5: Solve for x
    x = 3,863,626,603,321/933,001
  6. Step 6: Final answer
    x = 4,141,074.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.