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Finding the Third Proportional to 2,021,074 and 4,490,469

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Solution

The third proportional to 2,021,074 and 4,490,469 is: 9,977,027.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,074 : 4,490,469 = 4,490,469 : x
  2. Step 2: Convert to fraction form
    2,021,074/4,490,469 = 4,490,469/x
  3. Step 3: Cross multiply
    2,021,074x = 4,490,469 × 4,490,469
  4. Step 4: Simplify right side
    2,021,074x = 20,164,311,839,961
  5. Step 5: Solve for x
    x = 20,164,311,839,961/2,021,074
  6. Step 6: Final answer
    x = 9,977,027.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.