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Finding the Third Proportional to 3,462,498 and 5,941,062

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Solution

The third proportional to 3,462,498 and 5,941,062 is: 10,193,859.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462,498 : 5,941,062 = 5,941,062 : x
  2. Step 2: Convert to fraction form
    3,462,498/5,941,062 = 5,941,062/x
  3. Step 3: Cross multiply
    3,462,498x = 5,941,062 × 5,941,062
  4. Step 4: Simplify right side
    3,462,498x = 35,296,217,687,844
  5. Step 5: Solve for x
    x = 35,296,217,687,844/3,462,498
  6. Step 6: Final answer
    x = 10,193,859.37

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These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.