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Finding the Third Proportional to 1,206,658 and 2,382,836

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Solution

The third proportional to 1,206,658 and 2,382,836 is: 4,705,481.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,658 : 2,382,836 = 2,382,836 : x
  2. Step 2: Convert to fraction form
    1,206,658/2,382,836 = 2,382,836/x
  3. Step 3: Cross multiply
    1,206,658x = 2,382,836 × 2,382,836
  4. Step 4: Simplify right side
    1,206,658x = 5,677,907,402,896
  5. Step 5: Solve for x
    x = 5,677,907,402,896/1,206,658
  6. Step 6: Final answer
    x = 4,705,481.92

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.