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Finding the Third Proportional to 2,021,819 and 4,397,911

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Solution

The third proportional to 2,021,819 and 4,397,911 is: 9,566,445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,819 : 4,397,911 = 4,397,911 : x
  2. Step 2: Convert to fraction form
    2,021,819/4,397,911 = 4,397,911/x
  3. Step 3: Cross multiply
    2,021,819x = 4,397,911 × 4,397,911
  4. Step 4: Simplify right side
    2,021,819x = 19,341,621,163,921
  5. Step 5: Solve for x
    x = 19,341,621,163,921/2,021,819
  6. Step 6: Final answer
    x = 9,566,445.45

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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.