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Finding the Third Proportional to 2,215,980 and 4,762,997

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Solution

The third proportional to 2,215,980 and 4,762,997 is: 10,237,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215,980 : 4,762,997 = 4,762,997 : x
  2. Step 2: Convert to fraction form
    2,215,980/4,762,997 = 4,762,997/x
  3. Step 3: Cross multiply
    2,215,980x = 4,762,997 × 4,762,997
  4. Step 4: Simplify right side
    2,215,980x = 22,686,140,422,009
  5. Step 5: Solve for x
    x = 22,686,140,422,009/2,215,980
  6. Step 6: Final answer
    x = 10,237,520.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.