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Finding the Third Proportional to 2,272,491 and 4,864,193

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Solution

The third proportional to 2,272,491 and 4,864,193 is: 10,411,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272,491 : 4,864,193 = 4,864,193 : x
  2. Step 2: Convert to fraction form
    2,272,491/4,864,193 = 4,864,193/x
  3. Step 3: Cross multiply
    2,272,491x = 4,864,193 × 4,864,193
  4. Step 4: Simplify right side
    2,272,491x = 23,660,373,541,249
  5. Step 5: Solve for x
    x = 23,660,373,541,249/2,272,491
  6. Step 6: Final answer
    x = 10,411,646.75

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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.