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Finding the Third Proportional to 2,505,114 and 5,583,960

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Solution

The third proportional to 2,505,114 and 5,583,960 is: 12,446,782.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505,114 : 5,583,960 = 5,583,960 : x
  2. Step 2: Convert to fraction form
    2,505,114/5,583,960 = 5,583,960/x
  3. Step 3: Cross multiply
    2,505,114x = 5,583,960 × 5,583,960
  4. Step 4: Simplify right side
    2,505,114x = 31,180,609,281,600
  5. Step 5: Solve for x
    x = 31,180,609,281,600/2,505,114
  6. Step 6: Final answer
    x = 12,446,782.57

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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.