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Finding the Third Proportional to 1,991,964 and 4,321,698

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Solution

The third proportional to 1,991,964 and 4,321,698 is: 9,376,210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991,964 : 4,321,698 = 4,321,698 : x
  2. Step 2: Convert to fraction form
    1,991,964/4,321,698 = 4,321,698/x
  3. Step 3: Cross multiply
    1,991,964x = 4,321,698 × 4,321,698
  4. Step 4: Simplify right side
    1,991,964x = 18,677,073,603,204
  5. Step 5: Solve for x
    x = 18,677,073,603,204/1,991,964
  6. Step 6: Final answer
    x = 9,376,210.42

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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.