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Finding the Third Proportional to 961,698 and 2,056,806

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Solution

The third proportional to 961,698 and 2,056,806 is: 4,398,939.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,698 : 2,056,806 = 2,056,806 : x
  2. Step 2: Convert to fraction form
    961,698/2,056,806 = 2,056,806/x
  3. Step 3: Cross multiply
    961,698x = 2,056,806 × 2,056,806
  4. Step 4: Simplify right side
    961,698x = 4,230,450,921,636
  5. Step 5: Solve for x
    x = 4,230,450,921,636/961,698
  6. Step 6: Final answer
    x = 4,398,939.09

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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.