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Finding the Third Proportional to 960,709 and 2,063,876

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Solution

The third proportional to 960,709 and 2,063,876 is: 4,433,792.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,709 : 2,063,876 = 2,063,876 : x
  2. Step 2: Convert to fraction form
    960,709/2,063,876 = 2,063,876/x
  3. Step 3: Cross multiply
    960,709x = 2,063,876 × 2,063,876
  4. Step 4: Simplify right side
    960,709x = 4,259,584,143,376
  5. Step 5: Solve for x
    x = 4,259,584,143,376/960,709
  6. Step 6: Final answer
    x = 4,433,792.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.