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Finding the Third Proportional to 3,728,747 and 5,895,063

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Solution

The third proportional to 3,728,747 and 5,895,063 is: 9,319,958.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728,747 : 5,895,063 = 5,895,063 : x
  2. Step 2: Convert to fraction form
    3,728,747/5,895,063 = 5,895,063/x
  3. Step 3: Cross multiply
    3,728,747x = 5,895,063 × 5,895,063
  4. Step 4: Simplify right side
    3,728,747x = 34,751,767,773,969
  5. Step 5: Solve for x
    x = 34,751,767,773,969/3,728,747
  6. Step 6: Final answer
    x = 9,319,958.63

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.