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Finding the Third Proportional to 2,273,148 and 4,861,496.25

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Solution

The third proportional to 2,273,148 and 4,861,496.25 is: 10,397,099.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273,148 : 4,861,496.25 = 4,861,496.25 : x
  2. Step 2: Convert to fraction form
    2,273,148/4,861,496.25 = 4,861,496.25/x
  3. Step 3: Cross multiply
    2,273,148x = 4,861,496.25 × 4,861,496.25
  4. Step 4: Simplify right side
    2,273,148x = 23,634,145,788,764.06
  5. Step 5: Solve for x
    x = 23,634,145,788,764.06/2,273,148
  6. Step 6: Final answer
    x = 10,397,099.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.