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Finding the Third Proportional to 2,121,497 and 4,723,179

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Solution

The third proportional to 2,121,497 and 4,723,179 is: 10,515,414.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121,497 : 4,723,179 = 4,723,179 : x
  2. Step 2: Convert to fraction form
    2,121,497/4,723,179 = 4,723,179/x
  3. Step 3: Cross multiply
    2,121,497x = 4,723,179 × 4,723,179
  4. Step 4: Simplify right side
    2,121,497x = 22,308,419,866,041
  5. Step 5: Solve for x
    x = 22,308,419,866,041/2,121,497
  6. Step 6: Final answer
    x = 10,515,414.29

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.