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Finding the Third Proportional to 4,181,950 and 5,888,921

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Solution

The third proportional to 4,181,950 and 5,888,921 is: 8,292,636.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181,950 : 5,888,921 = 5,888,921 : x
  2. Step 2: Convert to fraction form
    4,181,950/5,888,921 = 5,888,921/x
  3. Step 3: Cross multiply
    4,181,950x = 5,888,921 × 5,888,921
  4. Step 4: Simplify right side
    4,181,950x = 34,679,390,544,241
  5. Step 5: Solve for x
    x = 34,679,390,544,241/4,181,950
  6. Step 6: Final answer
    x = 8,292,636.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.