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Finding the Third Proportional to 669,896 and 1,456,144

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Solution

The third proportional to 669,896 and 1,456,144 is: 3,165,200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,896 : 1,456,144 = 1,456,144 : x
  2. Step 2: Convert to fraction form
    669,896/1,456,144 = 1,456,144/x
  3. Step 3: Cross multiply
    669,896x = 1,456,144 × 1,456,144
  4. Step 4: Simplify right side
    669,896x = 2,120,355,348,736
  5. Step 5: Solve for x
    x = 2,120,355,348,736/669,896
  6. Step 6: Final answer
    x = 3,165,200.79

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.