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Finding the Third Proportional to 643,900 and 1,398,512

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Solution

The third proportional to 643,900 and 1,398,512 is: 3,037,483.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,900 : 1,398,512 = 1,398,512 : x
  2. Step 2: Convert to fraction form
    643,900/1,398,512 = 1,398,512/x
  3. Step 3: Cross multiply
    643,900x = 1,398,512 × 1,398,512
  4. Step 4: Simplify right side
    643,900x = 1,955,835,814,144
  5. Step 5: Solve for x
    x = 1,955,835,814,144/643,900
  6. Step 6: Final answer
    x = 3,037,483.79

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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.