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Finding the Third Proportional to 512,498,030 and 765,388,686

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Solution

The third proportional to 512,498,030 and 765,388,686 is: 1,143,067,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,498,030 : 765,388,686 = 765,388,686 : x
  2. Step 2: Convert to fraction form
    512,498,030/765,388,686 = 765,388,686/x
  3. Step 3: Cross multiply
    512,498,030x = 765,388,686 × 765,388,686
  4. Step 4: Simplify right side
    512,498,030x = 585,819,840,656,806,656
  5. Step 5: Solve for x
    x = 585,819,840,656,806,656/512,498,030
  6. Step 6: Final answer
    x = 1,143,067,497.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.