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Finding the Third Proportional to 1,198,740 and 1,686,240

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Solution

The third proportional to 1,198,740 and 1,686,240 is: 2,371,995.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,740 : 1,686,240 = 1,686,240 : x
  2. Step 2: Convert to fraction form
    1,198,740/1,686,240 = 1,686,240/x
  3. Step 3: Cross multiply
    1,198,740x = 1,686,240 × 1,686,240
  4. Step 4: Simplify right side
    1,198,740x = 2,843,405,337,600
  5. Step 5: Solve for x
    x = 2,843,405,337,600/1,198,740
  6. Step 6: Final answer
    x = 2,371,995.04

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.