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Finding the Third Proportional to 617,676 and 1,333,767

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Solution

The third proportional to 617,676 and 1,333,767 is: 2,880,044.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,676 : 1,333,767 = 1,333,767 : x
  2. Step 2: Convert to fraction form
    617,676/1,333,767 = 1,333,767/x
  3. Step 3: Cross multiply
    617,676x = 1,333,767 × 1,333,767
  4. Step 4: Simplify right side
    617,676x = 1,778,934,410,289
  5. Step 5: Solve for x
    x = 1,778,934,410,289/617,676
  6. Step 6: Final answer
    x = 2,880,044.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.