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Finding the Third Proportional to 2,274,596 and 4,901,704

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Solution

The third proportional to 2,274,596 and 4,901,704 is: 10,563,063.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274,596 : 4,901,704 = 4,901,704 : x
  2. Step 2: Convert to fraction form
    2,274,596/4,901,704 = 4,901,704/x
  3. Step 3: Cross multiply
    2,274,596x = 4,901,704 × 4,901,704
  4. Step 4: Simplify right side
    2,274,596x = 24,026,702,103,616
  5. Step 5: Solve for x
    x = 24,026,702,103,616/2,274,596
  6. Step 6: Final answer
    x = 10,563,063.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.