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Finding the Third Proportional to 2,302,092 and 5,012,880

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Solution

The third proportional to 2,302,092 and 5,012,880 is: 10,915,708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302,092 : 5,012,880 = 5,012,880 : x
  2. Step 2: Convert to fraction form
    2,302,092/5,012,880 = 5,012,880/x
  3. Step 3: Cross multiply
    2,302,092x = 5,012,880 × 5,012,880
  4. Step 4: Simplify right side
    2,302,092x = 25,128,965,894,400
  5. Step 5: Solve for x
    x = 25,128,965,894,400/2,302,092
  6. Step 6: Final answer
    x = 10,915,708.80

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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.