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Finding the Third Proportional to 269,218,977 and 585,607,896

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Solution

The third proportional to 269,218,977 and 585,607,896 is: 1,273,820,336.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,218,977 : 585,607,896 = 585,607,896 : x
  2. Step 2: Convert to fraction form
    269,218,977/585,607,896 = 585,607,896/x
  3. Step 3: Cross multiply
    269,218,977x = 585,607,896 × 585,607,896
  4. Step 4: Simplify right side
    269,218,977x = 342,936,607,857,546,816
  5. Step 5: Solve for x
    x = 342,936,607,857,546,816/269,218,977
  6. Step 6: Final answer
    x = 1,273,820,336.44

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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.