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Finding the Third Proportional to 2,274,595 and 4,901,701

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Solution

The third proportional to 2,274,595 and 4,901,701 is: 10,563,055.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274,595 : 4,901,701 = 4,901,701 : x
  2. Step 2: Convert to fraction form
    2,274,595/4,901,701 = 4,901,701/x
  3. Step 3: Cross multiply
    2,274,595x = 4,901,701 × 4,901,701
  4. Step 4: Simplify right side
    2,274,595x = 24,026,672,693,401
  5. Step 5: Solve for x
    x = 24,026,672,693,401/2,274,595
  6. Step 6: Final answer
    x = 10,563,055.27

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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.