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Finding the Third Proportional to 1,863,072 and 3,794,658

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Solution

The third proportional to 1,863,072 and 3,794,658 is: 7,728,863.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863,072 : 3,794,658 = 3,794,658 : x
  2. Step 2: Convert to fraction form
    1,863,072/3,794,658 = 3,794,658/x
  3. Step 3: Cross multiply
    1,863,072x = 3,794,658 × 3,794,658
  4. Step 4: Simplify right side
    1,863,072x = 14,399,429,336,964
  5. Step 5: Solve for x
    x = 14,399,429,336,964/1,863,072
  6. Step 6: Final answer
    x = 7,728,863.58

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.