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Finding the Third Proportional to 340,789,248 and 746,448,912

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Solution

The third proportional to 340,789,248 and 746,448,912 is: 1,634,986,964.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,789,248 : 746,448,912 = 746,448,912 : x
  2. Step 2: Convert to fraction form
    340,789,248/746,448,912 = 746,448,912/x
  3. Step 3: Cross multiply
    340,789,248x = 746,448,912 × 746,448,912
  4. Step 4: Simplify right side
    340,789,248x = 557,185,978,225,983,744
  5. Step 5: Solve for x
    x = 557,185,978,225,983,744/340,789,248
  6. Step 6: Final answer
    x = 1,634,986,964.81

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