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Finding the Third Proportional to 705,744 and 1,665,756

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Solution

The third proportional to 705,744 and 1,665,756 is: 3,931,656.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,744 : 1,665,756 = 1,665,756 : x
  2. Step 2: Convert to fraction form
    705,744/1,665,756 = 1,665,756/x
  3. Step 3: Cross multiply
    705,744x = 1,665,756 × 1,665,756
  4. Step 4: Simplify right side
    705,744x = 2,774,743,051,536
  5. Step 5: Solve for x
    x = 2,774,743,051,536/705,744
  6. Step 6: Final answer
    x = 3,931,656.59

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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.