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Finding the Third Proportional to 2,586,692 and 5,441,350

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Solution

The third proportional to 2,586,692 and 5,441,350 is: 11,446,391.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586,692 : 5,441,350 = 5,441,350 : x
  2. Step 2: Convert to fraction form
    2,586,692/5,441,350 = 5,441,350/x
  3. Step 3: Cross multiply
    2,586,692x = 5,441,350 × 5,441,350
  4. Step 4: Simplify right side
    2,586,692x = 29,608,289,822,500
  5. Step 5: Solve for x
    x = 29,608,289,822,500/2,586,692
  6. Step 6: Final answer
    x = 11,446,391.69

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.