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Finding the Third Proportional to 1,205,638 and 1,685,660

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Solution

The third proportional to 1,205,638 and 1,685,660 is: 2,356,801.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,638 : 1,685,660 = 1,685,660 : x
  2. Step 2: Convert to fraction form
    1,205,638/1,685,660 = 1,685,660/x
  3. Step 3: Cross multiply
    1,205,638x = 1,685,660 × 1,685,660
  4. Step 4: Simplify right side
    1,205,638x = 2,841,449,635,600
  5. Step 5: Solve for x
    x = 2,841,449,635,600/1,205,638
  6. Step 6: Final answer
    x = 2,356,801.66

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.