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Finding the Third Proportional to 854,500 and 1,328,406

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Solution

The third proportional to 854,500 and 1,328,406 is: 2,065,140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,500 : 1,328,406 = 1,328,406 : x
  2. Step 2: Convert to fraction form
    854,500/1,328,406 = 1,328,406/x
  3. Step 3: Cross multiply
    854,500x = 1,328,406 × 1,328,406
  4. Step 4: Simplify right side
    854,500x = 1,764,662,500,836
  5. Step 5: Solve for x
    x = 1,764,662,500,836/854,500
  6. Step 6: Final answer
    x = 2,065,140.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.