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Finding the Third Proportional to 2,313,089 and 5,012,314

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Solution

The third proportional to 2,313,089 and 5,012,314 is: 10,861,359.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313,089 : 5,012,314 = 5,012,314 : x
  2. Step 2: Convert to fraction form
    2,313,089/5,012,314 = 5,012,314/x
  3. Step 3: Cross multiply
    2,313,089x = 5,012,314 × 5,012,314
  4. Step 4: Simplify right side
    2,313,089x = 25,123,291,634,596
  5. Step 5: Solve for x
    x = 25,123,291,634,596/2,313,089
  6. Step 6: Final answer
    x = 10,861,359.69

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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.