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Finding the Third Proportional to 894,611 and 1,424,900

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Solution

The third proportional to 894,611 and 1,424,900 is: 2,269,522.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,611 : 1,424,900 = 1,424,900 : x
  2. Step 2: Convert to fraction form
    894,611/1,424,900 = 1,424,900/x
  3. Step 3: Cross multiply
    894,611x = 1,424,900 × 1,424,900
  4. Step 4: Simplify right side
    894,611x = 2,030,340,010,000
  5. Step 5: Solve for x
    x = 2,030,340,010,000/894,611
  6. Step 6: Final answer
    x = 2,269,522.74

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.