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Finding the Third Proportional to 705,678 and 1,665,591

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Solution

The third proportional to 705,678 and 1,665,591 is: 3,931,245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,678 : 1,665,591 = 1,665,591 : x
  2. Step 2: Convert to fraction form
    705,678/1,665,591 = 1,665,591/x
  3. Step 3: Cross multiply
    705,678x = 1,665,591 × 1,665,591
  4. Step 4: Simplify right side
    705,678x = 2,774,193,379,281
  5. Step 5: Solve for x
    x = 2,774,193,379,281/705,678
  6. Step 6: Final answer
    x = 3,931,245.38

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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.