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Finding the Third Proportional to 2,092,620 and 4,484,175

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Solution

The third proportional to 2,092,620 and 4,484,175 is: 9,608,923.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092,620 : 4,484,175 = 4,484,175 : x
  2. Step 2: Convert to fraction form
    2,092,620/4,484,175 = 4,484,175/x
  3. Step 3: Cross multiply
    2,092,620x = 4,484,175 × 4,484,175
  4. Step 4: Simplify right side
    2,092,620x = 20,107,825,430,625
  5. Step 5: Solve for x
    x = 20,107,825,430,625/2,092,620
  6. Step 6: Final answer
    x = 9,608,923.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.