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Finding the Third Proportional to 2,441,837 and 5,304,032

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Solution

The third proportional to 2,441,837 and 5,304,032 is: 11,521,143.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441,837 : 5,304,032 = 5,304,032 : x
  2. Step 2: Convert to fraction form
    2,441,837/5,304,032 = 5,304,032/x
  3. Step 3: Cross multiply
    2,441,837x = 5,304,032 × 5,304,032
  4. Step 4: Simplify right side
    2,441,837x = 28,132,755,457,024
  5. Step 5: Solve for x
    x = 28,132,755,457,024/2,441,837
  6. Step 6: Final answer
    x = 11,521,143.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.