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Finding the Third Proportional to 2,365,026 and 5,187,873

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Solution

The third proportional to 2,365,026 and 5,187,873 is: 11,380,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365,026 : 5,187,873 = 5,187,873 : x
  2. Step 2: Convert to fraction form
    2,365,026/5,187,873 = 5,187,873/x
  3. Step 3: Cross multiply
    2,365,026x = 5,187,873 × 5,187,873
  4. Step 4: Simplify right side
    2,365,026x = 26,914,026,264,129
  5. Step 5: Solve for x
    x = 26,914,026,264,129/2,365,026
  6. Step 6: Final answer
    x = 11,380,012.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.