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Finding the Third Proportional to 2,369,684 and 3,470,172

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Solution

The third proportional to 2,369,684 and 3,470,172 is: 5,081,729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369,684 : 3,470,172 = 3,470,172 : x
  2. Step 2: Convert to fraction form
    2,369,684/3,470,172 = 3,470,172/x
  3. Step 3: Cross multiply
    2,369,684x = 3,470,172 × 3,470,172
  4. Step 4: Simplify right side
    2,369,684x = 12,042,093,709,584
  5. Step 5: Solve for x
    x = 12,042,093,709,584/2,369,684
  6. Step 6: Final answer
    x = 5,081,729.76

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.