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Finding the Third Proportional to 1,096,515 and 1,644,766.50

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Solution

The third proportional to 1,096,515 and 1,644,766.50 is: 2,467,140.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,515 : 1,644,766.50 = 1,644,766.50 : x
  2. Step 2: Convert to fraction form
    1,096,515/1,644,766.50 = 1,644,766.50/x
  3. Step 3: Cross multiply
    1,096,515x = 1,644,766.50 × 1,644,766.50
  4. Step 4: Simplify right side
    1,096,515x = 2,705,256,839,522.25
  5. Step 5: Solve for x
    x = 2,705,256,839,522.25/1,096,515
  6. Step 6: Final answer
    x = 2,467,140.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.