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Finding the Third Proportional to 2,225,451 and 4,765,830

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Solution

The third proportional to 2,225,451 and 4,765,830 is: 10,206,082.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225,451 : 4,765,830 = 4,765,830 : x
  2. Step 2: Convert to fraction form
    2,225,451/4,765,830 = 4,765,830/x
  3. Step 3: Cross multiply
    2,225,451x = 4,765,830 × 4,765,830
  4. Step 4: Simplify right side
    2,225,451x = 22,713,135,588,900
  5. Step 5: Solve for x
    x = 22,713,135,588,900/2,225,451
  6. Step 6: Final answer
    x = 10,206,082.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.