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Finding the Third Proportional to 2,021,814 and 4,397,900

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Solution

The third proportional to 2,021,814 and 4,397,900 is: 9,566,421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,814 : 4,397,900 = 4,397,900 : x
  2. Step 2: Convert to fraction form
    2,021,814/4,397,900 = 4,397,900/x
  3. Step 3: Cross multiply
    2,021,814x = 4,397,900 × 4,397,900
  4. Step 4: Simplify right side
    2,021,814x = 19,341,524,410,000
  5. Step 5: Solve for x
    x = 19,341,524,410,000/2,021,814
  6. Step 6: Final answer
    x = 9,566,421.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.