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Finding the Third Proportional to 3,002,838 and 4,653,569

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Solution

The third proportional to 3,002,838 and 4,653,569 is: 7,211,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002,838 : 4,653,569 = 4,653,569 : x
  2. Step 2: Convert to fraction form
    3,002,838/4,653,569 = 4,653,569/x
  3. Step 3: Cross multiply
    3,002,838x = 4,653,569 × 4,653,569
  4. Step 4: Simplify right side
    3,002,838x = 21,655,704,437,761
  5. Step 5: Solve for x
    x = 21,655,704,437,761/3,002,838
  6. Step 6: Final answer
    x = 7,211,745.83

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