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Finding the Third Proportional to 705,096 and 1,543,696

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Solution

The third proportional to 705,096 and 1,543,696 is: 3,379,677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,096 : 1,543,696 = 1,543,696 : x
  2. Step 2: Convert to fraction form
    705,096/1,543,696 = 1,543,696/x
  3. Step 3: Cross multiply
    705,096x = 1,543,696 × 1,543,696
  4. Step 4: Simplify right side
    705,096x = 2,382,997,340,416
  5. Step 5: Solve for x
    x = 2,382,997,340,416/705,096
  6. Step 6: Final answer
    x = 3,379,677.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.