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Finding the Third Proportional to 2,166,180 and 4,693,570

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Solution

The third proportional to 2,166,180 and 4,693,570 is: 10,169,791.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166,180 : 4,693,570 = 4,693,570 : x
  2. Step 2: Convert to fraction form
    2,166,180/4,693,570 = 4,693,570/x
  3. Step 3: Cross multiply
    2,166,180x = 4,693,570 × 4,693,570
  4. Step 4: Simplify right side
    2,166,180x = 22,029,599,344,900
  5. Step 5: Solve for x
    x = 22,029,599,344,900/2,166,180
  6. Step 6: Final answer
    x = 10,169,791.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.