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Finding the Third Proportional to 1,302,625 and 2,745,218

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Solution

The third proportional to 1,302,625 and 2,745,218 is: 5,785,411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,625 : 2,745,218 = 2,745,218 : x
  2. Step 2: Convert to fraction form
    1,302,625/2,745,218 = 2,745,218/x
  3. Step 3: Cross multiply
    1,302,625x = 2,745,218 × 2,745,218
  4. Step 4: Simplify right side
    1,302,625x = 7,536,221,867,524
  5. Step 5: Solve for x
    x = 7,536,221,867,524/1,302,625
  6. Step 6: Final answer
    x = 5,785,411.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.