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Finding the Third Proportional to 340,789,250 and 746,448,916

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Solution

The third proportional to 340,789,250 and 746,448,916 is: 1,634,986,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,789,250 : 746,448,916 = 746,448,916 : x
  2. Step 2: Convert to fraction form
    340,789,250/746,448,916 = 746,448,916/x
  3. Step 3: Cross multiply
    340,789,250x = 746,448,916 × 746,448,916
  4. Step 4: Simplify right side
    340,789,250x = 557,185,984,197,575,040
  5. Step 5: Solve for x
    x = 557,185,984,197,575,040/340,789,250
  6. Step 6: Final answer
    x = 1,634,986,972.73

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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.