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Finding the Third Proportional to 2,505,118 and 5,583,968

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Solution

The third proportional to 2,505,118 and 5,583,968 is: 12,446,798.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505,118 : 5,583,968 = 5,583,968 : x
  2. Step 2: Convert to fraction form
    2,505,118/5,583,968 = 5,583,968/x
  3. Step 3: Cross multiply
    2,505,118x = 5,583,968 × 5,583,968
  4. Step 4: Simplify right side
    2,505,118x = 31,180,698,625,024
  5. Step 5: Solve for x
    x = 31,180,698,625,024/2,505,118
  6. Step 6: Final answer
    x = 12,446,798.36

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.