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Finding the Third Proportional to 2,223,736 and 4,872,973

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Solution

The third proportional to 2,223,736 and 4,872,973 is: 10,678,365.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223,736 : 4,872,973 = 4,872,973 : x
  2. Step 2: Convert to fraction form
    2,223,736/4,872,973 = 4,872,973/x
  3. Step 3: Cross multiply
    2,223,736x = 4,872,973 × 4,872,973
  4. Step 4: Simplify right side
    2,223,736x = 23,745,865,858,729
  5. Step 5: Solve for x
    x = 23,745,865,858,729/2,223,736
  6. Step 6: Final answer
    x = 10,678,365.53

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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.