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Finding the Third Proportional to 2,274,686 and 4,869,218

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Solution

The third proportional to 2,274,686 and 4,869,218 is: 10,423,101.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274,686 : 4,869,218 = 4,869,218 : x
  2. Step 2: Convert to fraction form
    2,274,686/4,869,218 = 4,869,218/x
  3. Step 3: Cross multiply
    2,274,686x = 4,869,218 × 4,869,218
  4. Step 4: Simplify right side
    2,274,686x = 23,709,283,931,524
  5. Step 5: Solve for x
    x = 23,709,283,931,524/2,274,686
  6. Step 6: Final answer
    x = 10,423,101.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.