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Finding the Third Proportional to 2,584,686 and 5,639,376

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Solution

The third proportional to 2,584,686 and 5,639,376 is: 12,304,226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584,686 : 5,639,376 = 5,639,376 : x
  2. Step 2: Convert to fraction form
    2,584,686/5,639,376 = 5,639,376/x
  3. Step 3: Cross multiply
    2,584,686x = 5,639,376 × 5,639,376
  4. Step 4: Simplify right side
    2,584,686x = 31,802,561,669,376
  5. Step 5: Solve for x
    x = 31,802,561,669,376/2,584,686
  6. Step 6: Final answer
    x = 12,304,226.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.