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Finding the Third Proportional to 1,200,456 and 2,561,616

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Solution

The third proportional to 1,200,456 and 2,561,616 is: 5,466,153.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,456 : 2,561,616 = 2,561,616 : x
  2. Step 2: Convert to fraction form
    1,200,456/2,561,616 = 2,561,616/x
  3. Step 3: Cross multiply
    1,200,456x = 2,561,616 × 2,561,616
  4. Step 4: Simplify right side
    1,200,456x = 6,561,876,531,456
  5. Step 5: Solve for x
    x = 6,561,876,531,456/1,200,456
  6. Step 6: Final answer
    x = 5,466,153.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.