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Finding the Third Proportional to 2,371,861 and 5,200,805

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Solution

The third proportional to 2,371,861 and 5,200,805 is: 11,403,860.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371,861 : 5,200,805 = 5,200,805 : x
  2. Step 2: Convert to fraction form
    2,371,861/5,200,805 = 5,200,805/x
  3. Step 3: Cross multiply
    2,371,861x = 5,200,805 × 5,200,805
  4. Step 4: Simplify right side
    2,371,861x = 27,048,372,648,025
  5. Step 5: Solve for x
    x = 27,048,372,648,025/2,371,861
  6. Step 6: Final answer
    x = 11,403,860.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.