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Finding the Third Proportional to 669,320 and 1,305,010

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Solution

The third proportional to 669,320 and 1,305,010 is: 2,544,449.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,320 : 1,305,010 = 1,305,010 : x
  2. Step 2: Convert to fraction form
    669,320/1,305,010 = 1,305,010/x
  3. Step 3: Cross multiply
    669,320x = 1,305,010 × 1,305,010
  4. Step 4: Simplify right side
    669,320x = 1,703,051,100,100
  5. Step 5: Solve for x
    x = 1,703,051,100,100/669,320
  6. Step 6: Final answer
    x = 2,544,449.74

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.