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Finding the Third Proportional to 3,098,839 and 4,809,913

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Solution

The third proportional to 3,098,839 and 4,809,913 is: 7,465,784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098,839 : 4,809,913 = 4,809,913 : x
  2. Step 2: Convert to fraction form
    3,098,839/4,809,913 = 4,809,913/x
  3. Step 3: Cross multiply
    3,098,839x = 4,809,913 × 4,809,913
  4. Step 4: Simplify right side
    3,098,839x = 23,135,263,067,569
  5. Step 5: Solve for x
    x = 23,135,263,067,569/3,098,839
  6. Step 6: Final answer
    x = 7,465,784.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.