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Finding the Third Proportional to 298,888,983 and 656,619,930

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Solution

The third proportional to 298,888,983 and 656,619,930 is: 1,442,507,944.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,888,983 : 656,619,930 = 656,619,930 : x
  2. Step 2: Convert to fraction form
    298,888,983/656,619,930 = 656,619,930/x
  3. Step 3: Cross multiply
    298,888,983x = 656,619,930 × 656,619,930
  4. Step 4: Simplify right side
    298,888,983x = 431,149,732,473,204,928
  5. Step 5: Solve for x
    x = 431,149,732,473,204,928/298,888,983
  6. Step 6: Final answer
    x = 1,442,507,944.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.