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Finding the Third Proportional to 2,031,945 and 4,441,698

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Solution

The third proportional to 2,031,945 and 4,441,698 is: 9,709,259.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031,945 : 4,441,698 = 4,441,698 : x
  2. Step 2: Convert to fraction form
    2,031,945/4,441,698 = 4,441,698/x
  3. Step 3: Cross multiply
    2,031,945x = 4,441,698 × 4,441,698
  4. Step 4: Simplify right side
    2,031,945x = 19,728,681,123,204
  5. Step 5: Solve for x
    x = 19,728,681,123,204/2,031,945
  6. Step 6: Final answer
    x = 9,709,259.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.