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Finding the Third Proportional to 2,431,400 and 5,290,900

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Solution

The third proportional to 2,431,400 and 5,290,900 is: 11,513,376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431,400 : 5,290,900 = 5,290,900 : x
  2. Step 2: Convert to fraction form
    2,431,400/5,290,900 = 5,290,900/x
  3. Step 3: Cross multiply
    2,431,400x = 5,290,900 × 5,290,900
  4. Step 4: Simplify right side
    2,431,400x = 27,993,622,810,000
  5. Step 5: Solve for x
    x = 27,993,622,810,000/2,431,400
  6. Step 6: Final answer
    x = 11,513,376.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.