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Finding the Third Proportional to 2,005,676 and 4,291,288

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Solution

The third proportional to 2,005,676 and 4,291,288 is: 9,181,519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,676 : 4,291,288 = 4,291,288 : x
  2. Step 2: Convert to fraction form
    2,005,676/4,291,288 = 4,291,288/x
  3. Step 3: Cross multiply
    2,005,676x = 4,291,288 × 4,291,288
  4. Step 4: Simplify right side
    2,005,676x = 18,415,152,698,944
  5. Step 5: Solve for x
    x = 18,415,152,698,944/2,005,676
  6. Step 6: Final answer
    x = 9,181,519.20

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