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Finding the Third Proportional to 340,789,251 and 746,448,918

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Solution

The third proportional to 340,789,251 and 746,448,918 is: 1,634,986,976.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,789,251 : 746,448,918 = 746,448,918 : x
  2. Step 2: Convert to fraction form
    340,789,251/746,448,918 = 746,448,918/x
  3. Step 3: Cross multiply
    340,789,251x = 746,448,918 × 746,448,918
  4. Step 4: Simplify right side
    340,789,251x = 557,185,987,183,370,752
  5. Step 5: Solve for x
    x = 557,185,987,183,370,752/340,789,251
  6. Step 6: Final answer
    x = 1,634,986,976.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.