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Finding the Third Proportional to 1,939,648 and 4,215,042

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Solution

The third proportional to 1,939,648 and 4,215,042 is: 9,159,692.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939,648 : 4,215,042 = 4,215,042 : x
  2. Step 2: Convert to fraction form
    1,939,648/4,215,042 = 4,215,042/x
  3. Step 3: Cross multiply
    1,939,648x = 4,215,042 × 4,215,042
  4. Step 4: Simplify right side
    1,939,648x = 17,766,579,061,764
  5. Step 5: Solve for x
    x = 17,766,579,061,764/1,939,648
  6. Step 6: Final answer
    x = 9,159,692.41

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