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Finding the Third Proportional to 2,271,404 and 4,609,552

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Solution

The third proportional to 2,271,404 and 4,609,552 is: 9,354,553.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271,404 : 4,609,552 = 4,609,552 : x
  2. Step 2: Convert to fraction form
    2,271,404/4,609,552 = 4,609,552/x
  3. Step 3: Cross multiply
    2,271,404x = 4,609,552 × 4,609,552
  4. Step 4: Simplify right side
    2,271,404x = 21,247,969,640,704
  5. Step 5: Solve for x
    x = 21,247,969,640,704/2,271,404
  6. Step 6: Final answer
    x = 9,354,553.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.