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Finding the Third Proportional to 705,912 and 1,665,096

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Solution

The third proportional to 705,912 and 1,665,096 is: 3,927,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,912 : 1,665,096 = 1,665,096 : x
  2. Step 2: Convert to fraction form
    705,912/1,665,096 = 1,665,096/x
  3. Step 3: Cross multiply
    705,912x = 1,665,096 × 1,665,096
  4. Step 4: Simplify right side
    705,912x = 2,772,544,689,216
  5. Step 5: Solve for x
    x = 2,772,544,689,216/705,912
  6. Step 6: Final answer
    x = 3,927,606.68

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.