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Finding the Third Proportional to 1,991,952 and 4,274,184

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Solution

The third proportional to 1,991,952 and 4,274,184 is: 9,171,229.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991,952 : 4,274,184 = 4,274,184 : x
  2. Step 2: Convert to fraction form
    1,991,952/4,274,184 = 4,274,184/x
  3. Step 3: Cross multiply
    1,991,952x = 4,274,184 × 4,274,184
  4. Step 4: Simplify right side
    1,991,952x = 18,268,648,865,856
  5. Step 5: Solve for x
    x = 18,268,648,865,856/1,991,952
  6. Step 6: Final answer
    x = 9,171,229.46

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