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Finding the Third Proportional to 2,219,175 and 4,781,163

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Solution

The third proportional to 2,219,175 and 4,781,163 is: 10,300,908.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219,175 : 4,781,163 = 4,781,163 : x
  2. Step 2: Convert to fraction form
    2,219,175/4,781,163 = 4,781,163/x
  3. Step 3: Cross multiply
    2,219,175x = 4,781,163 × 4,781,163
  4. Step 4: Simplify right side
    2,219,175x = 22,859,519,632,569
  5. Step 5: Solve for x
    x = 22,859,519,632,569/2,219,175
  6. Step 6: Final answer
    x = 10,300,908.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.