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Finding the Third Proportional to 418,867,998 and 674,907,930

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Solution

The third proportional to 418,867,998 and 674,907,930 is: 1,087,456,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,867,998 : 674,907,930 = 674,907,930 : x
  2. Step 2: Convert to fraction form
    418,867,998/674,907,930 = 674,907,930/x
  3. Step 3: Cross multiply
    418,867,998x = 674,907,930 × 674,907,930
  4. Step 4: Simplify right side
    418,867,998x = 455,500,713,976,884,928
  5. Step 5: Solve for x
    x = 455,500,713,976,884,928/418,867,998
  6. Step 6: Final answer
    x = 1,087,456,468.75

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.