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Finding the Third Proportional to 2,584,872 and 5,683,104

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Solution

The third proportional to 2,584,872 and 5,683,104 is: 12,494,882.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584,872 : 5,683,104 = 5,683,104 : x
  2. Step 2: Convert to fraction form
    2,584,872/5,683,104 = 5,683,104/x
  3. Step 3: Cross multiply
    2,584,872x = 5,683,104 × 5,683,104
  4. Step 4: Simplify right side
    2,584,872x = 32,297,671,074,816
  5. Step 5: Solve for x
    x = 32,297,671,074,816/2,584,872
  6. Step 6: Final answer
    x = 12,494,882.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.