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Finding the Third Proportional to 2,305,731 and 4,952,625

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Solution

The third proportional to 2,305,731 and 4,952,625 is: 10,638,055.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,731 : 4,952,625 = 4,952,625 : x
  2. Step 2: Convert to fraction form
    2,305,731/4,952,625 = 4,952,625/x
  3. Step 3: Cross multiply
    2,305,731x = 4,952,625 × 4,952,625
  4. Step 4: Simplify right side
    2,305,731x = 24,528,494,390,625
  5. Step 5: Solve for x
    x = 24,528,494,390,625/2,305,731
  6. Step 6: Final answer
    x = 10,638,055.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.