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Finding the Third Proportional to 2,136,717 and 4,678,671

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Solution

The third proportional to 2,136,717 and 4,678,671 is: 10,244,670.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136,717 : 4,678,671 = 4,678,671 : x
  2. Step 2: Convert to fraction form
    2,136,717/4,678,671 = 4,678,671/x
  3. Step 3: Cross multiply
    2,136,717x = 4,678,671 × 4,678,671
  4. Step 4: Simplify right side
    2,136,717x = 21,889,962,326,241
  5. Step 5: Solve for x
    x = 21,889,962,326,241/2,136,717
  6. Step 6: Final answer
    x = 10,244,670.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.