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Finding the Third Proportional to 969,923 and 2,107,727

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Solution

The third proportional to 969,923 and 2,107,727 is: 4,580,274.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,923 : 2,107,727 = 2,107,727 : x
  2. Step 2: Convert to fraction form
    969,923/2,107,727 = 2,107,727/x
  3. Step 3: Cross multiply
    969,923x = 2,107,727 × 2,107,727
  4. Step 4: Simplify right side
    969,923x = 4,442,513,106,529
  5. Step 5: Solve for x
    x = 4,442,513,106,529/969,923
  6. Step 6: Final answer
    x = 4,580,274.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.