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Finding the Third Proportional to 494,616 and 1,066,014

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Solution

The third proportional to 494,616 and 1,066,014 is: 2,297,511.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,616 : 1,066,014 = 1,066,014 : x
  2. Step 2: Convert to fraction form
    494,616/1,066,014 = 1,066,014/x
  3. Step 3: Cross multiply
    494,616x = 1,066,014 × 1,066,014
  4. Step 4: Simplify right side
    494,616x = 1,136,385,848,196
  5. Step 5: Solve for x
    x = 1,136,385,848,196/494,616
  6. Step 6: Final answer
    x = 2,297,511.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.