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Finding the Third Proportional to 963,923 and 2,093,781

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Solution

The third proportional to 963,923 and 2,093,781 is: 4,547,996.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,923 : 2,093,781 = 2,093,781 : x
  2. Step 2: Convert to fraction form
    963,923/2,093,781 = 2,093,781/x
  3. Step 3: Cross multiply
    963,923x = 2,093,781 × 2,093,781
  4. Step 4: Simplify right side
    963,923x = 4,383,918,875,961
  5. Step 5: Solve for x
    x = 4,383,918,875,961/963,923
  6. Step 6: Final answer
    x = 4,547,996.96

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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.