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Finding the Third Proportional to 2,102,055 and 4,552,756

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Solution

The third proportional to 2,102,055 and 4,552,756 is: 9,860,630.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,055 : 4,552,756 = 4,552,756 : x
  2. Step 2: Convert to fraction form
    2,102,055/4,552,756 = 4,552,756/x
  3. Step 3: Cross multiply
    2,102,055x = 4,552,756 × 4,552,756
  4. Step 4: Simplify right side
    2,102,055x = 20,727,587,195,536
  5. Step 5: Solve for x
    x = 20,727,587,195,536/2,102,055
  6. Step 6: Final answer
    x = 9,860,630.29

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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.