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Finding the Third Proportional to 1,091,296 and 1,683,600

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Solution

The third proportional to 1,091,296 and 1,683,600 is: 2,597,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091,296 : 1,683,600 = 1,683,600 : x
  2. Step 2: Convert to fraction form
    1,091,296/1,683,600 = 1,683,600/x
  3. Step 3: Cross multiply
    1,091,296x = 1,683,600 × 1,683,600
  4. Step 4: Simplify right side
    1,091,296x = 2,834,508,960,000
  5. Step 5: Solve for x
    x = 2,834,508,960,000/1,091,296
  6. Step 6: Final answer
    x = 2,597,378.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.