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Finding the Third Proportional to 2,143,736 and 4,598,296

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Solution

The third proportional to 2,143,736 and 4,598,296 is: 9,863,306.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,736 : 4,598,296 = 4,598,296 : x
  2. Step 2: Convert to fraction form
    2,143,736/4,598,296 = 4,598,296/x
  3. Step 3: Cross multiply
    2,143,736x = 4,598,296 × 4,598,296
  4. Step 4: Simplify right side
    2,143,736x = 21,144,326,103,616
  5. Step 5: Solve for x
    x = 21,144,326,103,616/2,143,736
  6. Step 6: Final answer
    x = 9,863,306.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.