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Finding the Third Proportional to 610,299 and 1,336,857

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Solution

The third proportional to 610,299 and 1,336,857 is: 2,928,378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,299 : 1,336,857 = 1,336,857 : x
  2. Step 2: Convert to fraction form
    610,299/1,336,857 = 1,336,857/x
  3. Step 3: Cross multiply
    610,299x = 1,336,857 × 1,336,857
  4. Step 4: Simplify right side
    610,299x = 1,787,186,638,449
  5. Step 5: Solve for x
    x = 1,787,186,638,449/610,299
  6. Step 6: Final answer
    x = 2,928,378.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.