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Finding the Third Proportional to 2,399,384 and 3,679,271

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Solution

The third proportional to 2,399,384 and 3,679,271 is: 5,641,879.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399,384 : 3,679,271 = 3,679,271 : x
  2. Step 2: Convert to fraction form
    2,399,384/3,679,271 = 3,679,271/x
  3. Step 3: Cross multiply
    2,399,384x = 3,679,271 × 3,679,271
  4. Step 4: Simplify right side
    2,399,384x = 13,537,035,091,441
  5. Step 5: Solve for x
    x = 13,537,035,091,441/2,399,384
  6. Step 6: Final answer
    x = 5,641,879.37

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.