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Finding the Third Proportional to 397,568,229 and 854,155,947

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Solution

The third proportional to 397,568,229 and 854,155,947 is: 1,835,112,387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,568,229 : 854,155,947 = 854,155,947 : x
  2. Step 2: Convert to fraction form
    397,568,229/854,155,947 = 854,155,947/x
  3. Step 3: Cross multiply
    397,568,229x = 854,155,947 × 854,155,947
  4. Step 4: Simplify right side
    397,568,229x = 729,582,381,795,466,752
  5. Step 5: Solve for x
    x = 729,582,381,795,466,752/397,568,229
  6. Step 6: Final answer
    x = 1,835,112,387.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.